Simplify ninth root of x^6y^3

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

Step 1

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

$\sqrt[9]{{(x^{2} y)}^{3}}$

Step 2

Rewrite $\sqrt[9]{{(x^{2} y)}^{3}}$ as $\sqrt[3]{\sqrt[3]{{(x^{2} y)}^{3}}}$ .

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

Step 3

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

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