Algebra Examples

32^{\frac{1}{5}}

$32^{\frac{1}{5}}$

Step 1

Simplify the expression.

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Step 1.1

Rewrite

32

$32$ as

2^{5}

$2^{5}$ .

{(2^{5})}^{\frac{1}{5}}

${(2^{5})}^{\frac{1}{5}}$

Step 1.2

Apply the power rule and multiply exponents,

{(a^{m})}^{n} = a^{m n}

${(a^{m})}^{n} = a^{m n}$ .

2^{5 (\frac{1}{5})}

$2^{5 (\frac{1}{5})}$

2^{5 (\frac{1}{5})}

$2^{5 (\frac{1}{5})}$

Step 2

Cancel the common factor of

5

$5$ .

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Step 2.1

Cancel the common factor.

$2^{5 (\frac{1}{5})}$

Step 2.2

Rewrite the expression.

$2^{1}$

$2^{1}$

Step 3

Evaluate the exponent.

$2$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$