# How do you solve (3^2)^b=3^8?

Nov 20, 2016

$b = 4$

#### Explanation:

${\left({3}^{2}\right)}^{b} = {3}^{8}$

Solve using the exponent rule that ${\left({a}^{b}\right)}^{c} = {a}^{b c}$

${3}^{2 b} = {3}^{8}$

Because the bases are the same, we can solve an equality with the exponents:
$2 b = 8$

$b = 4$