Simplify cube root of y^17

$\sqrt[3]{y^{17}}$

Step 1

Rewrite $y^{17}$ as ${(y^{5})}^{3} y^{2}$ .

Factor out $y^{15}$ .

$\sqrt[3]{y^{15} y^{2}}$

Rewrite $y^{15}$ as ${(y^{5})}^{3}$ .

$\sqrt[3]{{(y^{5})}^{3} y^{2}}$

$\sqrt[3]{{(y^{5})}^{3} y^{2}}$

Step 2

Pull terms out from under the radical.

$y^{5} \sqrt[3]{y^{2}}$

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