Simplify cube root of y^10

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

Step 1

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

Factor out $y^{9}$ .

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

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

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

Step 2

Pull terms out from under the radical.

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