Algebra Examples

$\sqrt[3]{50 y^{14}}$

Rewrite $50 y^{14}$ as ${(y^{4})}^{3} \cdot (50 y^{2})$ .

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Factor out $y^{12}$ .

$\sqrt[3]{50 (y^{12} y^{2})}$

Rewrite $y^{12}$ as ${(y^{4})}^{3}$ .

$\sqrt[3]{50 ({(y^{4})}^{3} y^{2})}$

Reorder $50$ and ${(y^{4})}^{3}$ .

$\sqrt[3]{{(y^{4})}^{3} \cdot 50 y^{2}}$

Add parentheses.

$\sqrt[3]{{(y^{4})}^{3} \cdot (50 y^{2})}$

Pull terms out from under the radical.

$y^{4} \sqrt[3]{50 y^{2}}$