Finite Math Examples

$\sqrt[6]{96 x^{18} y^{24}}$

Step 1

Rewrite $96 x^{18} y^{24}$ as ${(x^{3} y^{4})}^{6} \cdot 96$ .

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Step 1.1

Rewrite $x^{18}$ as ${(x^{3})}^{6}$ .

$\sqrt[6]{96 {(x^{3})}^{6} y^{24}}$

Step 1.2

Rewrite $y^{24}$ as ${(y^{4})}^{6}$ .

$\sqrt[6]{96 {(x^{3})}^{6} {(y^{4})}^{6}}$

Step 1.3

Move $96$ .

$\sqrt[6]{{(x^{3})}^{6} {(y^{4})}^{6} \cdot 96}$

Step 1.4

Rewrite ${(x^{3})}^{6} {(y^{4})}^{6}$ as ${(x^{3} y^{4})}^{6}$ .

$\sqrt[6]{{(x^{3} y^{4})}^{6} \cdot 96}$

Step 2

Pull terms out from under the radical.

$x^{3} y^{4} \sqrt[6]{96}$