# How do you simplify (2a ^ { 2} b ^ { 4} ) ^ { 2}?

Mar 18, 2017

$4 {a}^{4} {b}^{8}$

#### Explanation:

Distribute the exponent to the monomial inside the brackets.

$\left({2}^{2} {a}^{2}\right) \left({a}^{2 \left(2\right)}\right) \left({b}^{4 \left(2\right)}\right)$

$4 {a}^{4} {b}^{8}$

ANSWER: $4 {a}^{4} {b}^{8}$