Algebra Examples

$\frac{\sqrt[4]{16 x^{3} y^{3}}}{2 x y}$

Step 1

Simplify the numerator.

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Step 1.1

Rewrite $16 x^{3} y^{3}$ as $2^{4} (x^{3} y^{3})$ .

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Step 1.1.1

Rewrite $16$ as $2^{4}$ .

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

Step 1.1.2

Add parentheses.

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

Step 1.2

Pull terms out from under the radical.

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

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Cancel the common factor.

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

Step 2.2

Rewrite the expression.

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