Evaluate fifth root of -1/243

$\sqrt[5]{- \frac{1}{243}}$

Step 1

Rewrite $- \frac{1}{243}$ as ${(- \frac{1}{3})}^{5}$ .

$\sqrt[5]{{(- \frac{1}{3})}^{5}}$

Step 2

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

$- \frac{1}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{3}$

Decimal Form:

$- 0.\overline{3}$