SOLUTION: Here is the question: In an experiment, the population (P) of a bacteria colony is given by {{{ p = 15t^5/3 }}}, where T is the number of days since the start of the experiment. Fi

Algebra ->  Exponents -> SOLUTION: Here is the question: In an experiment, the population (P) of a bacteria colony is given by {{{ p = 15t^5/3 }}}, where T is the number of days since the start of the experiment. Fi      Log On


   

Question 841046: Here is the question: In an experiment, the population (P) of a bacteria colony is given by +p+=+15t%5E5%2F3+, where T is the number of days since the start of the experiment. Find the population of the colony on the 8th day.
I have got this far, but can not figure the rest out. It was hard to write but, if you see 5/3 that is a fraction that goes above. I hope it makes sense. It is hard.
+p+=+15t%5E5%2F3+
+p+=+15%288%29%5E5%2F3+
+p+=+15%283%5Esqrt%288%29%5E5+
+p+=+15%283%5Esqrt%282+%5E+3%29%5E5+

Answer by sheldonbbtrocks(115) About Me  (Show Source):
You can put this solution on YOUR website!
You're so close! All you have to do is simplify the fraction:

p=%2815%288%29%5E5%29%2F3%29

p=%2815%2A32768%29%2F%283%29

p=%28491520%2F3%29

[p=163840 bacteria]