Algebra Examples

$\sqrt[4]{x^{8} y^{7}}$

Step 1

Rewrite $x^{8} y^{7}$ as ${(x^{2} y)}^{4} y^{3}$ .

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Step 1.1

Rewrite $x^{8}$ as ${(x^{2})}^{4}$ .

$\sqrt[4]{{(x^{2})}^{4} y^{7}}$

Step 1.2

Factor out $y^{4}$ .

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

Step 1.3

Rewrite ${(x^{2})}^{4} y^{4}$ as ${(x^{2} y)}^{4}$ .

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

Step 2

Pull terms out from under the radical.

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