Simplify cube root of -512x^6

$\sqrt[3]{- 512 x^{6}}$

Step 1

Rewrite $- 512 x^{6}$ as ${(- 8 x^{2})}^{3}$ .

$\sqrt[3]{{(- 8 x^{2})}^{3}}$

Step 2

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

$- 8 x^{2}$

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