# How do you simplify  8^(4/3)?

Apr 17, 2018

${8}^{\frac{4}{3}} = 16$

#### Explanation:

In order to simplify ${8}^{\frac{4}{3}}$

We begin by changing the denominator to a root and the numerator to a power.

${\left(\sqrt[3]{8}\right)}^{4}$

Simplify the root
$\left(\sqrt[3]{8}\right) = 2$

${2}^{4}$ = $16$