Algebra Examples

${(\sqrt{x y})}^{3}$

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{x y}$ as ${(x y)}^{\frac{1}{2}}$ .

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

Step 2

Multiply the exponents in ${({(x y)}^{\frac{1}{2}})}^{3}$ .

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Step 2.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

${(x y)}^{\frac{1}{2} \cdot 3}$

Step 2.2

Combine $\frac{1}{2}$ and $3$ .

${(x y)}^{\frac{3}{2}}$