An initial population of 320032003200 cells of the green alga Chlamydomonas reinhardtii is inoculated into a bioreactor containing an abundance of nutrients. Under these optimal conditions, the cells divide by binary fission once every 757575 minutes.
Assuming that growth is completely unimpeded by limiting factors and no cell death occurs over a 252525-hour period, calculate the total number of algal cells present in the bioreactor at the end of this period.
Give your answer in standard form to three significant figures. Show your working.
