Simplify ninth root of x^3y^3

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

Step 1

Rewrite $x^{3} y^{3}$ as ${(x y)}^{3}$ .

$\sqrt[9]{{(x y)}^{3}}$

Step 2

Rewrite $\sqrt[9]{{(x y)}^{3}}$ as $\sqrt[3]{\sqrt[3]{{(x y)}^{3}}}$ .

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

Step 3

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

$\sqrt[3]{x y}$