Question

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

Answer 1

`b=4`

Explanation:

`(3^2)^b=3^8`

Solve using the exponent rule that `(a^b)^c=a^(bc)`

`3^(2b)=3^8`

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

`b=4`