Solve the problem. Leave the answer in exponential notation.

Question

The expression 2^6 x64^t approximates the number of bacteria after t hours. After 1/2 hr, how many bacteria are those?
is it 2^6..

Answer 1

n = (2^6) (64)^t
if t = 1/2

n = (2^6) (64)^.5

but the square root of 64 is 8
so
n = 2^6 * 8
which is
2^6 * 2^3
which is 2^9
which is
512

by the way 2^6 = 64