# How do you solve (2^a)^4=2^8?

Nov 22, 2016

This is a problem based on the concepts of indices or exponents.

#### Explanation:

${\left({2}^{a}\right)}^{4} = {2}^{8}$. [Given]
$\therefore {2}^{4 a} = {2}^{8}$.

Since, the numbers on which the powers are present are same, so,

$4 a = 8$.
$\therefore a = 2$. (answer).