Simplify cube root of -64/(x^6)

$\sqrt[3]{\frac{- 64}{x^{6}}}$

Step 1

Move the negative in front of the fraction.

$\sqrt[3]{- \frac{64}{x^{6}}}$

Step 2

Rewrite $- \frac{64}{x^{6}}$ as ${(- \frac{4}{x^{2}})}^{3}$ .

$\sqrt[3]{{(- \frac{4}{x^{2}})}^{3}}$

Step 3

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

$- \frac{4}{x^{2}}$