Simplify cube root of -27x^9y^6

$\sqrt[3]{- 27 x^{9} y^{6}}$

Step 1

Rewrite $- 27 x^{9} y^{6}$ as ${(- 3 x^{3} y^{2})}^{3}$ .

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

Step 2

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

$- 3 x^{3} y^{2}$