Question

There are (3^2)4 ⋅ 3^0 bacteria in a Petri dish. What is the total number of bacteria in the dish?

Answer 1

Using the rule

$(a^b)^c=a^{bc}$

and the result

$a^0=1\quad(a\neq 0)$

We have

$(3^2)^4\cdot 3^0 = 3^{2\cdot 4}\cdot 1=3^8$