# How do you simplify (-8)^(5/3)?

Sep 28, 2016

This expression can be simplified to $- 32$.

#### Explanation:

For this kind of problem, use the rule ${a}^{\frac{n}{m}} = {\sqrt[m]{a}}^{n}$

So, we can rewrite ${\left(- 8\right)}^{\frac{5}{3}}$ as ${\left(\sqrt[3]{- 8}\right)}^{5}$, which can be simplified as follows:

$= - {2}^{5}$

$= - 32$

Hopefully this helps!