Algebra Examples

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

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[5]{3}$ as $3^{\frac{1}{5}}$ .

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

Step 2

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

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Step 2.1

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

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

Step 2.2

Cancel the common factor of $5$ .

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Step 2.2.1

Cancel the common factor.

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

Step 2.2.2

Rewrite the expression.

$3^{1}$

Step 3

Evaluate the exponent.

$3$