Simplify cube root of y^19

$\sqrt[3]{y^{19}}$

Step 1

Rewrite $y^{19}$ as ${(y^{6})}^{3} y$ .

Factor out $y^{18}$ .

$\sqrt[3]{y^{18} y}$

Rewrite $y^{18}$ as ${(y^{6})}^{3}$ .

$\sqrt[3]{{(y^{6})}^{3} y}$

Step 2

Pull terms out from under the radical.

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