In a laboratory experiment, the concentration QQQ (in mol/L) of a chemical reagent over a specific time interval t t\,t is modelled by the function Q(t)=(43−6t)9\displaystyle Q(t) = \left(\frac{4}{3} - 6t\right)^9Q(t)=(34−6t)9. Determine the exact value of the coefficient of the term in t4 t^4\,t4 in the binomial expansion of Q(t)Q(t)Q(t), giving your answer as an integer in simplest form.
