36:I[651451,["/_next/static/chunks/2c7cbuj0myjl0.js?dpl=nogit-1789488374","/_next/static/chunks/2juje0t3dlhbm.js?dpl=nogit-1789488374","/_next/static/chunks/19ijf68pshdcn.js?dpl=nogit-1789488374","/_next/static/chunks/04u0lp5-90-_i.js?dpl=nogit-1789488374","/_next/static/chunks/0i-8vweyyd2z1.js?dpl=nogit-1789488374","/_next/static/chunks/14b49sowq3167.js?dpl=nogit-1789488374","/_next/static/chunks/0u008gt6051u7.js?dpl=nogit-1789488374","/_next/static/chunks/0zkcxwtbsqliz.js?dpl=nogit-1789488374","/_next/static/chunks/1wq0tmwxm0o03.js?dpl=nogit-1789488374","/_next/static/chunks/1bbv7o2-m-0ni.js?dpl=nogit-1789488374","/_next/static/chunks/3n6wyk-4-ou-2.js?dpl=nogit-1789488374","/_next/static/chunks/1h4wccj42vygd.js?dpl=nogit-1789488374","/_next/static/chunks/3jpl-42mbad5n.js?dpl=nogit-1789488374","/_next/static/chunks/1w_cokuayn2xb.js?dpl=nogit-1789488374","/_next/static/chunks/442oofikvq4ao.js?dpl=nogit-1789488374","/_next/static/chunks/2os7nxouq91eq.js?dpl=nogit-1789488374","/_next/static/chunks/3hxsq15e9l6ex.js?dpl=nogit-1789488374","/_next/static/chunks/3ht89vb0p09bm.js?dpl=nogit-1789488374","/_next/static/chunks/2qlkd_50jnb67.js?dpl=nogit-1789488374","/_next/static/chunks/3ml3vooxhiupb.js?dpl=nogit-1789488374","/_next/static/chunks/0ry5u_b6y0dbk.js?dpl=nogit-1789488374","/_next/static/chunks/0qfm0wv_qgrsj.js?dpl=nogit-1789488374","/_next/static/chunks/0gtr6g0fi5l0-.js?dpl=nogit-1789488374","/_next/static/chunks/14jjqpa8a5nws.js?dpl=nogit-1789488374","/_next/static/chunks/0i6x1920m4zk4.js?dpl=nogit-1789488374","/_next/static/chunks/1yts3efoejfo0.js?dpl=nogit-1789488374","/_next/static/chunks/04zr-wqafvwoa.js?dpl=nogit-1789488374","/_next/static/chunks/2id2jbelkqob6.js?dpl=nogit-1789488374","/_next/static/chunks/18kibg6v3ribz.js?dpl=nogit-1789488374","/_next/static/chunks/0k-y_4mcfub-p.js?dpl=nogit-1789488374","/_next/static/chunks/2_zyy4shki--m.js?dpl=nogit-1789488374","/_next/static/chunks/2ydqdr10ndcei.js?dpl=nogit-1789488374","/_next/static/chunks/0fia0hf7-7vfo.js?dpl=nogit-1789488374","/_next/static/chunks/43dq9llw-iyp8.js?dpl=nogit-1789488374","/_next/static/chunks/2dx-vzwyw9a3g.js?dpl=nogit-1789488374","/_next/static/chunks/0a_nnu2-xlcam.js?dpl=nogit-1789488374","/_next/static/chunks/12zn735ys1sga.js?dpl=nogit-1789488374","/_next/static/chunks/0llqhg6-bxn_b.js?dpl=nogit-1789488374","/_next/static/chunks/42u1ij4gdwonn.js?dpl=nogit-1789488374","/_next/static/chunks/0fkz1t-1q4vvx.js?dpl=nogit-1789488374","/_next/static/chunks/2cu8u4002xlhk.js?dpl=nogit-1789488374","/_next/static/chunks/23dzzhwlmv97g.js?dpl=nogit-1789488374","/_next/static/chunks/2muh31f8m33t4.js?dpl=nogit-1789488374","/_next/static/chunks/183lc3mbvk9pa.js?dpl=nogit-1789488374","/_next/static/chunks/0epkvyva8shyj.js?dpl=nogit-1789488374","/_next/static/chunks/0tapm_eeixiw6.js?dpl=nogit-1789488374","/_next/static/chunks/139ut7awapdtx.js?dpl=nogit-1789488374","/_next/static/chunks/1ewppg55gz8ao.js?dpl=nogit-1789488374","/_next/static/chunks/03ql4_ajt89dj.js?dpl=nogit-1789488374","/_next/static/chunks/13xb-ytf4szr_.js?dpl=nogit-1789488374","/_next/static/chunks/3v9ybc6cyn2el.js?dpl=nogit-1789488374","/_next/static/chunks/1r2o7os-xpck9.js?dpl=nogit-1789488374","/_next/static/chunks/3zzkpug-bge13.js?dpl=nogit-1789488374","/_next/static/chunks/14k7sugwbq3i8.js?dpl=nogit-1789488374","/_next/static/chunks/43ajf4ofaeu5y.js?dpl=nogit-1789488374","/_next/static/chunks/3_xr39lcvpdqw.js?dpl=nogit-1789488374","/_next/static/chunks/30dopbgd1dkf9.js?dpl=nogit-1789488374","/_next/static/chunks/0k562u9txct8-.js?dpl=nogit-1789488374","/_next/static/chunks/1tw7dwog40-j_.js?dpl=nogit-1789488374","/_next/static/chunks/3q_n1v1z_hn1-.js?dpl=nogit-1789488374","/_next/static/chunks/2b6zx8pzxydki.js?dpl=nogit-1789488374","/_next/static/chunks/2y341-r8ncizo.js?dpl=nogit-1789488374","/_next/static/chunks/0zg1om_k0m5zv.js?dpl=nogit-1789488374","/_next/static/chunks/2dr--mw_fu802.js?dpl=nogit-1789488374","/_next/static/chunks/1fn8bf7933b7y.js?dpl=nogit-1789488374","/_next/static/chunks/0fx374hbtcqun.js?dpl=nogit-1789488374","/_next/static/chunks/258b_3vm29gcy.js?dpl=nogit-1789488374","/_next/static/chunks/1ksyn9m68446d.js?dpl=nogit-1789488374","/_next/static/chunks/2sghpash7yifv.js?dpl=nogit-1789488374","/_next/static/chunks/3tn81b-gro1f1.js?dpl=nogit-1789488374","/_next/static/chunks/28z7oiyzc2ir9.js?dpl=nogit-1789488374"],"UserProgressProvider"] 37:I[196793,["/_next/static/chunks/2c7cbuj0myjl0.js?dpl=nogit-1789488374","/_next/static/chunks/2juje0t3dlhbm.js?dpl=nogit-1789488374","/_next/static/chunks/19ijf68pshdcn.js?dpl=nogit-1789488374","/_next/static/chunks/04u0lp5-90-_i.js?dpl=nogit-1789488374","/_next/static/chunks/0i-8vweyyd2z1.js?dpl=nogit-1789488374","/_next/static/chunks/14b49sowq3167.js?dpl=nogit-1789488374","/_next/static/chunks/0u008gt6051u7.js?dpl=nogit-1789488374","/_next/static/chunks/0zkcxwtbsqliz.js?dpl=nogit-1789488374","/_next/static/chunks/1wq0tmwxm0o03.js?dpl=nogit-1789488374","/_next/static/chunks/1bbv7o2-m-0ni.js?dpl=nogit-1789488374","/_next/static/chunks/3n6wyk-4-ou-2.js?dpl=nogit-1789488374","/_next/static/chunks/1h4wccj42vygd.js?dpl=nogit-1789488374","/_next/static/chunks/3jpl-42mbad5n.js?dpl=nogit-1789488374","/_next/static/chunks/1w_cokuayn2xb.js?dpl=nogit-1789488374","/_next/static/chunks/442oofikvq4ao.js?dpl=nogit-1789488374","/_next/static/chunks/2os7nxouq91eq.js?dpl=nogit-1789488374","/_next/static/chunks/3hxsq15e9l6ex.js?dpl=nogit-1789488374","/_next/static/chunks/3ht89vb0p09bm.js?dpl=nogit-1789488374","/_next/static/chunks/2qlkd_50jnb67.js?dpl=nogit-1789488374","/_next/static/chunks/3ml3vooxhiupb.js?dpl=nogit-1789488374","/_next/static/chunks/0ry5u_b6y0dbk.js?dpl=nogit-1789488374","/_next/static/chunks/0qfm0wv_qgrsj.js?dpl=nogit-1789488374","/_next/static/chunks/0gtr6g0fi5l0-.js?dpl=nogit-1789488374","/_next/static/chunks/14jjqpa8a5nws.js?dpl=nogit-1789488374","/_next/static/chunks/0i6x1920m4zk4.js?dpl=nogit-1789488374","/_next/static/chunks/1yts3efoejfo0.js?dpl=nogit-1789488374","/_next/static/chunks/04zr-wqafvwoa.js?dpl=nogit-1789488374","/_next/static/chunks/2id2jbelkqob6.js?dpl=nogit-1789488374","/_next/static/chunks/18kibg6v3ribz.js?dpl=nogit-1789488374","/_next/static/chunks/0k-y_4mcfub-p.js?dpl=nogit-1789488374","/_next/static/chunks/2_zyy4shki--m.js?dpl=nogit-1789488374","/_next/static/chunks/2ydqdr10ndcei.js?dpl=nogit-1789488374","/_next/static/chunks/0fia0hf7-7vfo.js?dpl=nogit-1789488374","/_next/static/chunks/43dq9llw-iyp8.js?dpl=nogit-1789488374","/_next/static/chunks/2dx-vzwyw9a3g.js?dpl=nogit-1789488374","/_next/static/chunks/0a_nnu2-xlcam.js?dpl=nogit-1789488374","/_next/static/chunks/12zn735ys1sga.js?dpl=nogit-1789488374","/_next/static/chunks/0llqhg6-bxn_b.js?dpl=nogit-1789488374","/_next/static/chunks/42u1ij4gdwonn.js?dpl=nogit-1789488374","/_next/static/chunks/0fkz1t-1q4vvx.js?dpl=nogit-1789488374","/_next/static/chunks/2cu8u4002xlhk.js?dpl=nogit-1789488374","/_next/static/chunks/23dzzhwlmv97g.js?dpl=nogit-1789488374","/_next/static/chunks/2muh31f8m33t4.js?dpl=nogit-1789488374","/_next/static/chunks/183lc3mbvk9pa.js?dpl=nogit-1789488374","/_next/static/chunks/0epkvyva8shyj.js?dpl=nogit-1789488374","/_next/static/chunks/0tapm_eeixiw6.js?dpl=nogit-1789488374","/_next/static/chunks/139ut7awapdtx.js?dpl=nogit-1789488374","/_next/static/chunks/1ewppg55gz8ao.js?dpl=nogit-1789488374","/_next/static/chunks/03ql4_ajt89dj.js?dpl=nogit-1789488374","/_next/static/chunks/13xb-ytf4szr_.js?dpl=nogit-1789488374","/_next/static/chunks/3v9ybc6cyn2el.js?dpl=nogit-1789488374","/_next/static/chunks/1r2o7os-xpck9.js?dpl=nogit-1789488374","/_next/static/chunks/3zzkpug-bge13.js?dpl=nogit-1789488374","/_next/static/chunks/14k7sugwbq3i8.js?dpl=nogit-1789488374","/_next/static/chunks/43ajf4ofaeu5y.js?dpl=nogit-1789488374","/_next/static/chunks/3_xr39lcvpdqw.js?dpl=nogit-1789488374","/_next/static/chunks/30dopbgd1dkf9.js?dpl=nogit-1789488374","/_next/static/chunks/0k562u9txct8-.js?dpl=nogit-1789488374","/_next/static/chunks/1tw7dwog40-j_.js?dpl=nogit-1789488374","/_next/static/chunks/3q_n1v1z_hn1-.js?dpl=nogit-1789488374","/_next/static/chunks/2b6zx8pzxydki.js?dpl=nogit-1789488374","/_next/static/chunks/2y341-r8ncizo.js?dpl=nogit-1789488374","/_next/static/chunks/0zg1om_k0m5zv.js?dpl=nogit-1789488374","/_next/static/chunks/2dr--mw_fu802.js?dpl=nogit-1789488374","/_next/static/chunks/1fn8bf7933b7y.js?dpl=nogit-1789488374","/_next/static/chunks/0fx374hbtcqun.js?dpl=nogit-1789488374","/_next/static/chunks/258b_3vm29gcy.js?dpl=nogit-1789488374","/_next/static/chunks/1ksyn9m68446d.js?dpl=nogit-1789488374","/_next/static/chunks/2sghpash7yifv.js?dpl=nogit-1789488374","/_next/static/chunks/3tn81b-gro1f1.js?dpl=nogit-1789488374","/_next/static/chunks/28z7oiyzc2ir9.js?dpl=nogit-1789488374"],"Gingerbread"] 39:I[716297,["/_next/static/chunks/2c7cbuj0myjl0.js?dpl=nogit-1789488374","/_next/static/chunks/2juje0t3dlhbm.js?dpl=nogit-1789488374","/_next/static/chunks/19ijf68pshdcn.js?dpl=nogit-1789488374","/_next/static/chunks/04u0lp5-90-_i.js?dpl=nogit-1789488374","/_next/static/chunks/0i-8vweyyd2z1.js?dpl=nogit-1789488374","/_next/static/chunks/14b49sowq3167.js?dpl=nogit-1789488374","/_next/static/chunks/0u008gt6051u7.js?dpl=nogit-1789488374","/_next/static/chunks/0zkcxwtbsqliz.js?dpl=nogit-1789488374","/_next/static/chunks/1wq0tmwxm0o03.js?dpl=nogit-1789488374","/_next/static/chunks/1bbv7o2-m-0ni.js?dpl=nogit-1789488374","/_next/static/chunks/3n6wyk-4-ou-2.js?dpl=nogit-1789488374","/_next/static/chunks/1h4wccj42vygd.js?dpl=nogit-1789488374","/_next/static/chunks/3jpl-42mbad5n.js?dpl=nogit-1789488374","/_next/static/chunks/1w_cokuayn2xb.js?dpl=nogit-1789488374","/_next/static/chunks/442oofikvq4ao.js?dpl=nogit-1789488374","/_next/static/chunks/2os7nxouq91eq.js?dpl=nogit-1789488374","/_next/static/chunks/3hxsq15e9l6ex.js?dpl=nogit-1789488374","/_next/static/chunks/3ht89vb0p09bm.js?dpl=nogit-1789488374","/_next/static/chunks/2qlkd_50jnb67.js?dpl=nogit-1789488374","/_next/static/chunks/3ml3vooxhiupb.js?dpl=nogit-1789488374","/_next/static/chunks/0ry5u_b6y0dbk.js?dpl=nogit-1789488374","/_next/static/chunks/0qfm0wv_qgrsj.js?dpl=nogit-1789488374","/_next/static/chunks/0gtr6g0fi5l0-.js?dpl=nogit-1789488374","/_next/static/chunks/14jjqpa8a5nws.js?dpl=nogit-1789488374","/_next/static/chunks/0i6x1920m4zk4.js?dpl=nogit-1789488374","/_next/static/chunks/1yts3efoejfo0.js?dpl=nogit-1789488374","/_next/static/chunks/04zr-wqafvwoa.js?dpl=nogit-1789488374","/_next/static/chunks/2id2jbelkqob6.js?dpl=nogit-1789488374","/_next/static/chunks/18kibg6v3ribz.js?dpl=nogit-1789488374","/_next/static/chunks/0k-y_4mcfub-p.js?dpl=nogit-1789488374","/_next/static/chunks/2_zyy4shki--m.js?dpl=nogit-1789488374","/_next/static/chunks/2ydqdr10ndcei.js?dpl=nogit-1789488374","/_next/static/chunks/0fia0hf7-7vfo.js?dpl=nogit-1789488374","/_next/static/chunks/43dq9llw-iyp8.js?dpl=nogit-1789488374","/_next/static/chunks/2dx-vzwyw9a3g.js?dpl=nogit-1789488374","/_next/static/chunks/0a_nnu2-xlcam.js?dpl=nogit-1789488374","/_next/static/chunks/12zn735ys1sga.js?dpl=nogit-1789488374","/_next/static/chunks/0llqhg6-bxn_b.js?dpl=nogit-1789488374","/_next/static/chunks/42u1ij4gdwonn.js?dpl=nogit-1789488374","/_next/static/chunks/0fkz1t-1q4vvx.js?dpl=nogit-1789488374","/_next/static/chunks/2cu8u4002xlhk.js?dpl=nogit-1789488374","/_next/static/chunks/23dzzhwlmv97g.js?dpl=nogit-1789488374","/_next/static/chunks/2muh31f8m33t4.js?dpl=nogit-1789488374","/_next/static/chunks/183lc3mbvk9pa.js?dpl=nogit-1789488374","/_next/static/chunks/0epkvyva8shyj.js?dpl=nogit-1789488374","/_next/static/chunks/0tapm_eeixiw6.js?dpl=nogit-1789488374","/_next/static/chunks/139ut7awapdtx.js?dpl=nogit-1789488374","/_next/static/chunks/1ewppg55gz8ao.js?dpl=nogit-1789488374","/_next/static/chunks/03ql4_ajt89dj.js?dpl=nogit-1789488374","/_next/static/chunks/13xb-ytf4szr_.js?dpl=nogit-1789488374","/_next/static/chunks/3v9ybc6cyn2el.js?dpl=nogit-1789488374","/_next/static/chunks/1r2o7os-xpck9.js?dpl=nogit-1789488374","/_next/static/chunks/3zzkpug-bge13.js?dpl=nogit-1789488374","/_next/static/chunks/14k7sugwbq3i8.js?dpl=nogit-1789488374","/_next/static/chunks/43ajf4ofaeu5y.js?dpl=nogit-1789488374","/_next/static/chunks/3_xr39lcvpdqw.js?dpl=nogit-1789488374","/_next/static/chunks/30dopbgd1dkf9.js?dpl=nogit-1789488374","/_next/static/chunks/0k562u9txct8-.js?dpl=nogit-1789488374","/_next/static/chunks/1tw7dwog40-j_.js?dpl=nogit-1789488374","/_next/static/chunks/3q_n1v1z_hn1-.js?dpl=nogit-1789488374","/_next/static/chunks/2b6zx8pzxydki.js?dpl=nogit-1789488374","/_next/static/chunks/2y341-r8ncizo.js?dpl=nogit-1789488374","/_next/static/chunks/0zg1om_k0m5zv.js?dpl=nogit-1789488374","/_next/static/chunks/2dr--mw_fu802.js?dpl=nogit-1789488374","/_next/static/chunks/1fn8bf7933b7y.js?dpl=nogit-1789488374","/_next/static/chunks/0fx374hbtcqun.js?dpl=nogit-1789488374","/_next/static/chunks/258b_3vm29gcy.js?dpl=nogit-1789488374","/_next/static/chunks/1ksyn9m68446d.js?dpl=nogit-1789488374","/_next/static/chunks/2sghpash7yifv.js?dpl=nogit-1789488374","/_next/static/chunks/3tn81b-gro1f1.js?dpl=nogit-1789488374","/_next/static/chunks/28z7oiyzc2ir9.js?dpl=nogit-1789488374"],"TopicRecentlyViewed"] 3a:I[647935,["/_next/static/chunks/2c7cbuj0myjl0.js?dpl=nogit-1789488374","/_next/static/chunks/2juje0t3dlhbm.js?dpl=nogit-1789488374","/_next/static/chunks/19ijf68pshdcn.js?dpl=nogit-1789488374","/_next/static/chunks/04u0lp5-90-_i.js?dpl=nogit-1789488374","/_next/static/chunks/0i-8vweyyd2z1.js?dpl=nogit-1789488374","/_next/static/chunks/14b49sowq3167.js?dpl=nogit-1789488374","/_next/static/chunks/0u008gt6051u7.js?dpl=nogit-1789488374","/_next/static/chunks/0zkcxwtbsqliz.js?dpl=nogit-1789488374","/_next/static/chunks/1wq0tmwxm0o03.js?dpl=nogit-1789488374","/_next/static/chunks/1bbv7o2-m-0ni.js?dpl=nogit-1789488374","/_next/static/chunks/3n6wyk-4-ou-2.js?dpl=nogit-1789488374","/_next/static/chunks/1h4wccj42vygd.js?dpl=nogit-1789488374","/_next/static/chunks/3jpl-42mbad5n.js?dpl=nogit-1789488374","/_next/static/chunks/1w_cokuayn2xb.js?dpl=nogit-1789488374","/_next/static/chunks/442oofikvq4ao.js?dpl=nogit-1789488374","/_next/static/chunks/2os7nxouq91eq.js?dpl=nogit-1789488374","/_next/static/chunks/3hxsq15e9l6ex.js?dpl=nogit-1789488374","/_next/static/chunks/3ht89vb0p09bm.js?dpl=nogit-1789488374","/_next/static/chunks/2qlkd_50jnb67.js?dpl=nogit-1789488374","/_next/static/chunks/3ml3vooxhiupb.js?dpl=nogit-1789488374","/_next/static/chunks/0ry5u_b6y0dbk.js?dpl=nogit-1789488374","/_next/static/chunks/0qfm0wv_qgrsj.js?dpl=nogit-1789488374","/_next/static/chunks/0gtr6g0fi5l0-.js?dpl=nogit-1789488374","/_next/static/chunks/14jjqpa8a5nws.js?dpl=nogit-1789488374","/_next/static/chunks/0i6x1920m4zk4.js?dpl=nogit-1789488374","/_next/static/chunks/1yts3efoejfo0.js?dpl=nogit-1789488374","/_next/static/chunks/04zr-wqafvwoa.js?dpl=nogit-1789488374","/_next/static/chunks/2id2jbelkqob6.js?dpl=nogit-1789488374","/_next/static/chunks/18kibg6v3ribz.js?dpl=nogit-1789488374","/_next/static/chunks/0k-y_4mcfub-p.js?dpl=nogit-1789488374","/_next/static/chunks/2_zyy4shki--m.js?dpl=nogit-1789488374","/_next/static/chunks/2ydqdr10ndcei.js?dpl=nogit-1789488374","/_next/static/chunks/0fia0hf7-7vfo.js?dpl=nogit-1789488374","/_next/static/chunks/43dq9llw-iyp8.js?dpl=nogit-1789488374","/_next/static/chunks/2dx-vzwyw9a3g.js?dpl=nogit-1789488374","/_next/static/chunks/0a_nnu2-xlcam.js?dpl=nogit-1789488374","/_next/static/chunks/12zn735ys1sga.js?dpl=nogit-1789488374","/_next/static/chunks/0llqhg6-bxn_b.js?dpl=nogit-1789488374","/_next/static/chunks/42u1ij4gdwonn.js?dpl=nogit-1789488374","/_next/static/chunks/0fkz1t-1q4vvx.js?dpl=nogit-1789488374","/_next/static/chunks/2cu8u4002xlhk.js?dpl=nogit-1789488374","/_next/static/chunks/23dzzhwlmv97g.js?dpl=nogit-1789488374","/_next/static/chunks/2muh31f8m33t4.js?dpl=nogit-1789488374","/_next/static/chunks/183lc3mbvk9pa.js?dpl=nogit-1789488374","/_next/static/chunks/0epkvyva8shyj.js?dpl=nogit-1789488374","/_next/static/chunks/0tapm_eeixiw6.js?dpl=nogit-1789488374","/_next/static/chunks/139ut7awapdtx.js?dpl=nogit-1789488374","/_next/static/chunks/1ewppg55gz8ao.js?dpl=nogit-1789488374","/_next/static/chunks/03ql4_ajt89dj.js?dpl=nogit-1789488374","/_next/static/chunks/13xb-ytf4szr_.js?dpl=nogit-1789488374","/_next/static/chunks/3v9ybc6cyn2el.js?dpl=nogit-1789488374","/_next/static/chunks/1r2o7os-xpck9.js?dpl=nogit-1789488374","/_next/static/chunks/3zzkpug-bge13.js?dpl=nogit-1789488374","/_next/static/chunks/14k7sugwbq3i8.js?dpl=nogit-1789488374","/_next/static/chunks/43ajf4ofaeu5y.js?dpl=nogit-1789488374","/_next/static/chunks/3_xr39lcvpdqw.js?dpl=nogit-1789488374","/_next/static/chunks/30dopbgd1dkf9.js?dpl=nogit-1789488374","/_next/static/chunks/0k562u9txct8-.js?dpl=nogit-1789488374","/_next/static/chunks/1tw7dwog40-j_.js?dpl=nogit-1789488374","/_next/static/chunks/3q_n1v1z_hn1-.js?dpl=nogit-1789488374","/_next/static/chunks/2b6zx8pzxydki.js?dpl=nogit-1789488374","/_next/static/chunks/2y341-r8ncizo.js?dpl=nogit-1789488374","/_next/static/chunks/0zg1om_k0m5zv.js?dpl=nogit-1789488374","/_next/static/chunks/2dr--mw_fu802.js?dpl=nogit-1789488374","/_next/static/chunks/1fn8bf7933b7y.js?dpl=nogit-1789488374","/_next/static/chunks/0fx374hbtcqun.js?dpl=nogit-1789488374","/_next/static/chunks/258b_3vm29gcy.js?dpl=nogit-1789488374","/_next/static/chunks/1ksyn9m68446d.js?dpl=nogit-1789488374","/_next/static/chunks/2sghpash7yifv.js?dpl=nogit-1789488374","/_next/static/chunks/3tn81b-gro1f1.js?dpl=nogit-1789488374","/_next/static/chunks/28z7oiyzc2ir9.js?dpl=nogit-1789488374"],"RecordResourceResume"] 3b:I[426249,["/_next/static/chunks/2c7cbuj0myjl0.js?dpl=nogit-1789488374","/_next/static/chunks/2juje0t3dlhbm.js?dpl=nogit-1789488374","/_next/static/chunks/19ijf68pshdcn.js?dpl=nogit-1789488374","/_next/static/chunks/04u0lp5-90-_i.js?dpl=nogit-1789488374","/_next/static/chunks/0i-8vweyyd2z1.js?dpl=nogit-1789488374","/_next/static/chunks/14b49sowq3167.js?dpl=nogit-1789488374","/_next/static/chunks/0u008gt6051u7.js?dpl=nogit-1789488374","/_next/static/chunks/0zkcxwtbsqliz.js?dpl=nogit-1789488374","/_next/static/chunks/1wq0tmwxm0o03.js?dpl=nogit-1789488374","/_next/static/chunks/1bbv7o2-m-0ni.js?dpl=nogit-1789488374","/_next/static/chunks/3n6wyk-4-ou-2.js?dpl=nogit-1789488374","/_next/static/chunks/1h4wccj42vygd.js?dpl=nogit-1789488374","/_next/static/chunks/3jpl-42mbad5n.js?dpl=nogit-1789488374","/_next/static/chunks/1w_cokuayn2xb.js?dpl=nogit-1789488374","/_next/static/chunks/442oofikvq4ao.js?dpl=nogit-1789488374","/_next/static/chunks/2os7nxouq91eq.js?dpl=nogit-1789488374","/_next/static/chunks/3hxsq15e9l6ex.js?dpl=nogit-1789488374","/_next/static/chunks/3ht89vb0p09bm.js?dpl=nogit-1789488374","/_next/static/chunks/2qlkd_50jnb67.js?dpl=nogit-1789488374","/_next/static/chunks/3ml3vooxhiupb.js?dpl=nogit-1789488374","/_next/static/chunks/0ry5u_b6y0dbk.js?dpl=nogit-1789488374","/_next/static/chunks/0qfm0wv_qgrsj.js?dpl=nogit-1789488374","/_next/static/chunks/0gtr6g0fi5l0-.js?dpl=nogit-1789488374","/_next/static/chunks/14jjqpa8a5nws.js?dpl=nogit-1789488374","/_next/static/chunks/0i6x1920m4zk4.js?dpl=nogit-1789488374","/_next/static/chunks/1yts3efoejfo0.js?dpl=nogit-1789488374","/_next/static/chunks/04zr-wqafvwoa.js?dpl=nogit-1789488374","/_next/static/chunks/2id2jbelkqob6.js?dpl=nogit-1789488374","/_next/static/chunks/18kibg6v3ribz.js?dpl=nogit-1789488374","/_next/static/chunks/0k-y_4mcfub-p.js?dpl=nogit-1789488374","/_next/static/chunks/2_zyy4shki--m.js?dpl=nogit-1789488374","/_next/static/chunks/2ydqdr10ndcei.js?dpl=nogit-1789488374","/_next/static/chunks/0fia0hf7-7vfo.js?dpl=nogit-1789488374","/_next/static/chunks/43dq9llw-iyp8.js?dpl=nogit-1789488374","/_next/static/chunks/2dx-vzwyw9a3g.js?dpl=nogit-1789488374","/_next/static/chunks/0a_nnu2-xlcam.js?dpl=nogit-1789488374","/_next/static/chunks/12zn735ys1sga.js?dpl=nogit-1789488374","/_next/static/chunks/0llqhg6-bxn_b.js?dpl=nogit-1789488374","/_next/static/chunks/42u1ij4gdwonn.js?dpl=nogit-1789488374","/_next/static/chunks/0fkz1t-1q4vvx.js?dpl=nogit-1789488374","/_next/static/chunks/2cu8u4002xlhk.js?dpl=nogit-1789488374","/_next/static/chunks/23dzzhwlmv97g.js?dpl=nogit-1789488374","/_next/static/chunks/2muh31f8m33t4.js?dpl=nogit-1789488374","/_next/static/chunks/183lc3mbvk9pa.js?dpl=nogit-1789488374","/_next/static/chunks/0epkvyva8shyj.js?dpl=nogit-1789488374","/_next/static/chunks/0tapm_eeixiw6.js?dpl=nogit-1789488374","/_next/static/chunks/139ut7awapdtx.js?dpl=nogit-1789488374","/_next/static/chunks/1ewppg55gz8ao.js?dpl=nogit-1789488374","/_next/static/chunks/03ql4_ajt89dj.js?dpl=nogit-1789488374","/_next/static/chunks/13xb-ytf4szr_.js?dpl=nogit-1789488374","/_next/static/chunks/3v9ybc6cyn2el.js?dpl=nogit-1789488374","/_next/static/chunks/1r2o7os-xpck9.js?dpl=nogit-1789488374","/_next/static/chunks/3zzkpug-bge13.js?dpl=nogit-1789488374","/_next/static/chunks/14k7sugwbq3i8.js?dpl=nogit-1789488374","/_next/static/chunks/43ajf4ofaeu5y.js?dpl=nogit-1789488374","/_next/static/chunks/3_xr39lcvpdqw.js?dpl=nogit-1789488374","/_next/static/chunks/30dopbgd1dkf9.js?dpl=nogit-1789488374","/_next/static/chunks/0k562u9txct8-.js?dpl=nogit-1789488374","/_next/static/chunks/1tw7dwog40-j_.js?dpl=nogit-1789488374","/_next/static/chunks/3q_n1v1z_hn1-.js?dpl=nogit-1789488374","/_next/static/chunks/2b6zx8pzxydki.js?dpl=nogit-1789488374","/_next/static/chunks/2y341-r8ncizo.js?dpl=nogit-1789488374","/_next/static/chunks/0zg1om_k0m5zv.js?dpl=nogit-1789488374","/_next/static/chunks/2dr--mw_fu802.js?dpl=nogit-1789488374","/_next/static/chunks/1fn8bf7933b7y.js?dpl=nogit-1789488374","/_next/static/chunks/0fx374hbtcqun.js?dpl=nogit-1789488374","/_next/static/chunks/258b_3vm29gcy.js?dpl=nogit-1789488374","/_next/static/chunks/1ksyn9m68446d.js?dpl=nogit-1789488374","/_next/static/chunks/2sghpash7yifv.js?dpl=nogit-1789488374","/_next/static/chunks/3tn81b-gro1f1.js?dpl=nogit-1789488374","/_next/static/chunks/28z7oiyzc2ir9.js?dpl=nogit-1789488374"],"TopicQuestionBank"] 25:["$","$L36",null,{"bundle":{"topicIds":["6b9bbc36-190d-4978-b6f2-5d97279e2654"],"paperIds":[],"stageIds":[],"stageTopicIds":[],"stageAssessmentIds":[],"topicNoteIds":[]},"children":[["$","$L37",null,{"feature":"question-bank"}],"$L38",["$","$L39",null,{"subjectCode":"old_maths_alevel","subjectName":"Old Maths","topicSlug":"legacy-old-alevel-7ade92ce-b034-418b-8028-77204cc6c610","topicTitle":"Indices and Surds","sectionTitle":null,"activity":"worksheet","resourceTitle":"Indices and Surds Questions","resourceHref":"/a-level/old-maths/edexcel/legacy-old-alevel-7ade92ce-b034-418b-8028-77204cc6c610/questions/q1","saveTrail":false}],["$","$L3a",null,{"href":"/a-level/old-maths/edexcel/legacy-old-alevel-7ade92ce-b034-418b-8028-77204cc6c610/questions/q1","label":"Indices and Surds","subjectCode":"old_maths_alevel","surface":"questions"}],["$","script",null,{"type":"application/ld+json","dangerouslySetInnerHTML":{"__html":"{\"@context\":\"https://schema.org\",\"@type\":\"LearningResource\",\"name\":\"Question 3 – Indices and Surds - A Level Old Maths Questions\",\"description\":\"Practise Indices and Surds A Level Old Maths exam-style questions with worked solutions on MathsGenie.\",\"learningResourceType\":\"Practice questions\",\"educationalLevel\":\"A Level\",\"about\":{\"@type\":\"Thing\",\"name\":\"Indices and Surds\"},\"url\":\"https://mathsgenie.co.uk/a-level/old-maths/edexcel/legacy-old-alevel-7ade92ce-b034-418b-8028-77204cc6c610/questions/q3\",\"inLanguage\":\"en-GB\",\"provider\":{\"@id\":\"https://mathsgenie.co.uk/#organization\"}}"}}],["$","div",null,{"className":"min-h-0 w-full flex-1 overflow-hidden bg-background","children":["$","$L3b",null,{"backHref":"/a-level/old-maths/edexcel/questions","basePath":"/a-level/old-maths/edexcel/legacy-old-alevel-7ade92ce-b034-418b-8028-77204cc6c610/questions","formulaUrl":"https://qualifications.pearson.com/content/dam/pdf/A%20Level/Mathematics/2013/Specification%20and%20sample%20assessments/N38210A-GCE-Mathematical-Formulae-Statistical-Tables.pdf","initialIndex":2,"initialQuestionWindow":[{"id":"3b0de506-c100-485a-88ac-172998e8ef9c","revisionId":"84b3eea6-0c89-4744-ae2b-a3caceac3e47","questionNumber":"2","questionType":"LA","specification":"Given that $32\\sqrt{2} = 2^a$, find the value of $a$.","difficulty":1,"difficultyBand":"easy","totalMarks":3,"sourceTitle":"Indices and Surds","calculatorUse":null,"isCalculation":true,"parts":[{"id":"940bd32f-3871-4c4b-b000-aef58fa7ce80","label":"0","content":"Given that $32\\sqrt{2} = 2^a$, find the value of $a$.","markscheme":"- $32 = 2^5$ and $\\sqrt{2} = 2^{1/2}$ M1\n- $2^5 \\times 2^{1/2} = 2^{5.5}$ or $2^{11/2}$ M1\n- $a = 11/2$ A1","marks":3,"order":0,"markingRubric":{"totalMarks":3,"points":[{"id":"p1","marks":1,"description":"Expresses 32 as $2^5$ or $\\sqrt{2}$ as $2^{1/2}$.","code":"M"},{"id":"p2","marks":1,"description":"Uses index laws to add powers ($5 + 0.5$).","code":"M"},{"id":"p3","marks":1,"description":"Final answer $a = 11/2$ or $5.5$.","code":"A"}],"finalAnswers":["11/2","5.5"],"generatedAt":"2026-05-06T15:25:34.014Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":{"methods":[{"id":"rewrite_in_base_two","label":"Rewrite in base 2","steps":[{"type":"text","order":0,"title":"Rewrite each factor","content":"Write both factors as powers of the same base, $2$. This earns the first method mark (M1): $32=2^5$ and $\\sqrt{2}=2^{1/2}$.","highlights":[{"text":"$$32\\sqrt{2} = 2^a$","location":"specification"}]},{"type":"hyper_latex","block":{"nodes":[{"latex":"\\htmlData{anchor=start}{2^5\\times2^{1/2}}"},{"latex":"2^{\\htmlData{anchor=addition}{5+\\frac12}}"},{"latex":"\\htmlData{anchor=combined}{2^{11/2}}"}],"highlights":[{"color":"sky","style":"text-color-with-background","anchor":"addition"},{"color":"green","style":"text-color","anchor":"combined"}],"connections":[{"to":"addition","from":"start","color":"sky","label":"add exponents"},{"to":"combined","from":"addition","color":"green","label":"simplify"}]},"order":1,"title":"Multiply the powers","description":"When powers with the same base are multiplied, add their exponents. This is the second method mark (M1)."},{"type":"text","order":2,"title":"Match the exponent","content":"The expression is now $2^{11/2}$, and it is given as $2^a$. Since the bases are the same, the exponents must be equal:\n\n$$a=\\frac{11}{2}$$\n\nThis is the accuracy mark (A1).","highlights":[{"text":"find the value of $a$","location":"specification"}]}]}],"generatedAt":"2026-07-21T04:11:03.902Z","modelVersion":"gpt-5.6-terra","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null,"walkthroughVideo":null},{"id":"b954cb10-663c-4cfb-9ae3-062b9959de14","revisionId":"8a3e4673-d308-4024-9dae-f7a4ea90d8ce","questionNumber":"3","questionType":"LA","specification":"","difficulty":1,"difficultyBand":"easy","totalMarks":3,"sourceTitle":"Indices and Surds","calculatorUse":null,"isCalculation":true,"parts":[{"id":"45b2ca37-6983-4b60-a342-730755193abd","label":"a","content":"Write down the value of $125^{\\frac{1}{3}}$.","markscheme":"- $125^{1/3} = 5$ B1","marks":1,"order":0,"markingRubric":{"totalMarks":1,"points":[{"id":"p1","marks":1,"description":"Final answer 5.","code":"B"}],"finalAnswers":["5"],"generatedAt":"2026-05-06T15:25:34.014Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":{"methods":[{"id":"cube_root","label":"Evaluate the cube root","steps":[{"type":"text","order":0,"title":"Recognise the cube root","content":"The power $\\frac{1}{3}$ means **cube root**: find the number which, when multiplied by itself three times, gives $125$.\n\nSince $5^3=125$, the required value is $5$. This is the single accuracy mark (B1).","highlights":[{"text":"$$125^{\\frac{1}{3}}$","location":"specification"}]}]}],"generatedAt":"2026-07-21T03:13:25.656Z","modelVersion":"gpt-5.6-terra","explanationVersion":"v3"},"options":[]},{"id":"66fc2f1e-fece-4f7c-95bd-51e21fd09bc1","label":"b","content":"Find the value of $125^{-\\frac{2}{3}}$.","markscheme":"- $125^{2/3} = (125^{1/3})^2 = 5^2 = 25$ M1\n- $125^{-2/3} = \\frac{1}{25}$ A1","marks":2,"order":1,"markingRubric":{"totalMarks":2,"points":[{"id":"p1","marks":1,"description":"Attempts to square the cube root or handle the negative index.","code":"M"},{"id":"p2","marks":1,"description":"Final answer $1/25$ or $0.04$.","code":"A"}],"finalAnswers":["1/25","0.04"],"generatedAt":"2026-05-06T15:25:34.014Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":{"methods":[{"id":"fractional_indices","label":"Evaluate the fractional index","steps":[{"type":"text","order":0,"title":"Read the index","content":"For a fractional index, the denominator gives the root and the numerator gives the power. So the positive-index part $125^{\\frac{2}{3}}$ means “cube root of $125$, then square it”. The negative sign will mean take a reciprocal afterwards.","highlights":[{"text":"Find the value of $125^{-\\frac{2}{3}}$.","location":"specification"}]},{"type":"hyper_latex","block":{"nodes":[{"latex":"125^{\\frac{2}{3}}=\\left(125^{\\frac{1}{3}}\\right)^2"},{"latex":"\\left(125^{\\frac{1}{3}}\\right)^2=5^2"},{"latex":"5^2=25"}]},"order":1,"title":"Evaluate the positive power","description":"First find the corresponding positive power. Examiner annotation (M1): obtaining the positive power as 25."},{"type":"hyper_latex","block":{"nodes":[{"latex":"125^{-\\frac{2}{3}}=\\frac{1}{\\htmlData{anchor=positive_power}{125^{\\frac{2}{3}}}}"},{"latex":"125^{-\\frac{2}{3}}=\\frac{1}{\\htmlData{anchor=result}{25}}"}],"connections":[{"to":"result","from":"positive_power","color":"orange","label":"substitute 25"}]},"order":2,"title":"Use the negative index","description":"A negative index means take the reciprocal. Substitute the positive power found above. Examiner annotation (A1): concluding that the value is 1/25."}]}],"generatedAt":"2026-07-21T03:21:55.207Z","modelVersion":"gpt-5.6-terra","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null,"walkthroughVideo":null},{"id":"2b407ec6-83ed-4617-b76b-05b183116712","revisionId":"22f300ce-3693-48ff-86a0-6cf07270e270","questionNumber":"4","questionType":"LA","specification":"Expand and simplify $(\\sqrt{7} + 2)(\\sqrt{7} - 2)$.","difficulty":1,"difficultyBand":"easy","totalMarks":2,"sourceTitle":"Indices and Surds","calculatorUse":null,"isCalculation":true,"parts":[{"id":"05ab35c9-db51-4347-9b63-eddec5a71c56","label":"0","content":"Expand and simplify $(\\sqrt{7} + 2)(\\sqrt{7} - 2)$.","markscheme":"- Expansion: $7 - 2\\sqrt{7} + 2\\sqrt{7} - 4$ M1\n- Simplify: $7 - 4 = 3$ A1","marks":2,"order":0,"markingRubric":{"totalMarks":2,"points":[{"id":"p1","marks":1,"description":"Attempts to expand brackets (difference of two squares or full expansion).","code":"M"},{"id":"p2","marks":1,"description":"Final answer 3.","code":"A"}],"finalAnswers":["3"],"generatedAt":"2026-05-06T15:25:34.014Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":{"methods":[{"id":"expand_brackets","label":"Expand the brackets","steps":[{"type":"text","order":0,"title":"Spot the conjugates","content":"The brackets have the form $(a+b)(a-b)$. Expand each term carefully: the middle terms will be opposites and so cancel.","highlights":[{"text":"Expand and simplify $(\\sqrt{7} + 2)(\\sqrt{7} - 2)$.","location":"specification"}]},{"type":"hyper_latex","block":{"nodes":[{"latex":"\\htmlData{anchor=product}{(\\sqrt{7}+2)(\\sqrt{7}-2)}"},{"latex":"\\htmlData{anchor=expanded}{7-2\\sqrt{7}+2\\sqrt{7}-4}"}],"highlights":[{"color":"sky","style":"text-color","anchor":"expanded"}],"connections":[{"to":"expanded","from":"product","color":"sky","label":"expand all four products","style":"solid"}]},"order":1,"title":"Expand every term","description":"Multiply each term in the first bracket by each term in the second bracket. This full expansion earns the M1 mark."},{"type":"text","order":2,"title":"Cancel and simplify","content":"The terms $-2\\sqrt{7}$ and $+2\\sqrt{7}$ cancel. This leaves $7-4=3$, which earns the A1 mark.\n\n$$\\boxed{3}$$"}]}],"generatedAt":"2026-07-21T04:13:27.710Z","modelVersion":"gpt-5.6-terra","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":null,"walkthroughVideo":null}],"subjectCode":"old_maths_alevel","summaries":[{"id":"15f982e7-d5b3-4cf1-8b89-4ae54d4e77e9","difficultyBand":"easy","calculatorUse":null,"totalMarks":4,"questionType":"LA","isCalculation":true},{"id":"3b0de506-c100-485a-88ac-172998e8ef9c","difficultyBand":"easy","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"b954cb10-663c-4cfb-9ae3-062b9959de14","difficultyBand":"easy","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"2b407ec6-83ed-4617-b76b-05b183116712","difficultyBand":"easy","calculatorUse":null,"totalMarks":2,"questionType":"LA","isCalculation":true},{"id":"ca610cd6-0cab-49b4-8ed2-a39c1834d94b","difficultyBand":"easy","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"3cc82298-ad8a-4760-8c6c-84be20084779","difficultyBand":"medium","calculatorUse":null,"totalMarks":4,"questionType":"LA","isCalculation":true},{"id":"c5442434-93bc-4a2d-990f-da6ba1f80ceb","difficultyBand":"easy","calculatorUse":null,"totalMarks":4,"questionType":"LA","isCalculation":true},{"id":"b69cdd17-b9fd-4b1d-b454-970d7fd5db12","difficultyBand":"easy","calculatorUse":null,"totalMarks":4,"questionType":"LA","isCalculation":true},{"id":"a8b45331-5e14-4954-b89a-e9f591219297","difficultyBand":"medium","calculatorUse":null,"totalMarks":6,"questionType":"LA","isCalculation":true},{"id":"dbad9844-8a01-44fd-9076-d9159c5c4799","difficultyBand":"easy","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":true},{"id":"d8913a69-4d3e-4745-9a63-61c0e86790ac","difficultyBand":"easy","calculatorUse":null,"totalMarks":4,"questionType":"LA","isCalculation":true},{"id":"af8d4769-4b41-43c8-952c-5e0d6dc1f458","difficultyBand":"easy","calculatorUse":null,"totalMarks":3,"questionType":"LA","isCalculation":true}],"title":"Indices and Surds","topicId":"6b9bbc36-190d-4978-b6f2-5d97279e2654","topicSidebar":"$L3c","topicSlug":"legacy-old-alevel-7ade92ce-b034-418b-8028-77204cc6c610","topicTitle":"Indices and Surds"}]}],"$L3d","$L3e"]}]