Algebra Examples

$\frac{\sqrt[3]{27 x y}}{x y^{- \frac{1}{2}}}$

Step 1

Move $y^{- \frac{1}{2}}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{\sqrt[3]{27 x y} y^{\frac{1}{2}}}{x}$

Step 2

Simplify the numerator.

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Step 2.1

Rewrite $27 x y$ as $3^{3} (x y)$ .

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Step 2.1.1

Rewrite $27$ as $3^{3}$ .

$\frac{\sqrt[3]{3^{3} x y} y^{\frac{1}{2}}}{x}$

Step 2.1.2

Add parentheses.

$\frac{\sqrt[3]{3^{3} (x y)} y^{\frac{1}{2}}}{x}$

Step 2.2

Pull terms out from under the radical.

$\frac{3 \sqrt[3]{x y} y^{\frac{1}{2}}}{x}$