Pre-Algebra Examples

$\sqrt[5]{- 32 x^{30} y^{3}}$

Step 1

Rewrite $- 32 x^{30} y^{3}$ as ${(- 2 x^{6})}^{5} y^{3}$ .

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Step 1.1

Rewrite $- 32$ as ${(- 2)}^{5}$ .

$\sqrt[5]{{(- 2)}^{5} x^{30} y^{3}}$

Step 1.2

Rewrite $x^{30}$ as ${(x^{6})}^{5}$ .

$\sqrt[5]{{(- 2)}^{5} {(x^{6})}^{5} y^{3}}$

Step 1.3

Rewrite ${(- 2)}^{5} {(x^{6})}^{5}$ as ${(- 2 x^{6})}^{5}$ .

$\sqrt[5]{{(- 2 x^{6})}^{5} y^{3}}$

Step 2

Pull terms out from under the radical.

$- 2 x^{6} \sqrt[5]{y^{3}}$