Simplify cube root of x^10

$\sqrt[3]{x^{10}}$

Rewrite $x^{10}$ as ${(x^{3})}^{3} x$ .

Factor out $x^{9}$ .

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

Rewrite $x^{9}$ as ${(x^{3})}^{3}$ .

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

Pull terms out from under the radical.

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