Algebra Examples

256^{\frac{1}{4}}

$256^{\frac{1}{4}}$

Step 1

Simplify the expression.

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Step 1.1

Rewrite

256

$256$ as

4^{4}

$4^{4}$ .

{(4^{4})}^{\frac{1}{4}}

${(4^{4})}^{\frac{1}{4}}$

Step 1.2

Apply the power rule and multiply exponents,

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

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

4^{4 (\frac{1}{4})}

$4^{4 (\frac{1}{4})}$

4^{4 (\frac{1}{4})}

$4^{4 (\frac{1}{4})}$

Step 2

Cancel the common factor of

4

$4$ .

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Step 2.1

Cancel the common factor.

$4^{4 (\frac{1}{4})}$

Step 2.2

Rewrite the expression.

$4^{1}$

$4^{1}$

Step 3

Evaluate the exponent.

$4$

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