Simplify cube root of -64x^12y^9

$\sqrt[3]{- 64 x^{12} y^{9}}$

Step 1

Rewrite $- 64 x^{12} y^{9}$ as ${(- 4 x^{4} y^{3})}^{3}$ .

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

Step 2

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

$- 4 x^{4} y^{3}$