Simplify cube root of y^23

$\sqrt[3]{y^{23}}$

Step 1

Rewrite $y^{23}$ as ${(y^{7})}^{3} y^{2}$ .

Factor out $y^{21}$ .

$\sqrt[3]{y^{21} y^{2}}$

Rewrite $y^{21}$ as ${(y^{7})}^{3}$ .

$\sqrt[3]{{(y^{7})}^{3} y^{2}}$

$\sqrt[3]{{(y^{7})}^{3} y^{2}}$

Step 2

Pull terms out from under the radical.

$y^{7} \sqrt[3]{y^{2}}$

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