# How do you simplify ((2a)^3 sqrt(y))^4?

Mar 24, 2018

$4096 {a}^{12} {y}^{2}$

#### Explanation:

${\left({\left(2 a\right)}^{3} \sqrt{y}\right)}^{4}$

Exponentiate $\left(2 a\right)$ to the power of $3$,

${\left(8 {a}^{3} \sqrt{y}\right)}^{4}$

Exponentiate $\left(8 {a}^{3} \sqrt{y}\right)$ to the power of $4$,

$4096 {a}^{12} {y}^{2}$