Algebra Examples

${(\sqrt[3]{x})}^{5}$

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[3]{x}$ as $x^{\frac{1}{3}}$ .

${(x^{\frac{1}{3}})}^{5}$

Step 2

Multiply the exponents in ${(x^{\frac{1}{3}})}^{5}$ .

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Step 2.1

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

$x^{\frac{1}{3} \cdot 5}$

Step 2.2

Combine $\frac{1}{3}$ and $5$ .

$x^{\frac{5}{3}}$