Question

If (9^2)^p = 9^8, what is the value of p?

Answer 1

your answer will be 4

Answer 2

Use the power rule

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

To rewrite the equation as

$9^{2p} = 9^8$

So, the two exponents have to be the same:

$2p = 8 \iff p=4$