Simplify ninth root of x^6

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

Step 1

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

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

Step 2

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

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

Step 3

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

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