Simplify cube root of -125/343

$\sqrt[3]{- \frac{125}{343}}$

Step 1

Rewrite $- \frac{125}{343}$ as ${(- \frac{5}{7})}^{3}$ .

$\sqrt[3]{{(- \frac{5}{7})}^{3}}$

Step 2

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

$- \frac{5}{7}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- \frac{5}{7}$

Decimal Form:

$- 0.\overline{714285}$