Simplify cube root of -64/125

$\sqrt[3]{- \frac{64}{125}}$

Step 1

Rewrite $- \frac{64}{125}$ as ${(- \frac{4}{5})}^{3}$ .

$\sqrt[3]{{(- \frac{4}{5})}^{3}}$

Step 2

Pull terms out from under the radical, assuming real numbers.

$- \frac{4}{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- \frac{4}{5}$

Decimal Form:

$- 0.8$