Algebra Examples

$\sqrt[4]{\frac{1}{256}}$

Step 1

Rewrite $\sqrt[4]{\frac{1}{256}}$ as $\frac{\sqrt[4]{1}}{\sqrt[4]{256}}$ .

$\frac{\sqrt[4]{1}}{\sqrt[4]{256}}$

Step 2

Any root of $1$ is $1$ .

$\frac{1}{\sqrt[4]{256}}$

Step 3

Simplify the denominator.

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Step 3.1

Rewrite $256$ as $4^{4}$ .

$\frac{1}{\sqrt[4]{4^{4}}}$

Step 3.2

Pull terms out from under the radical.

$\frac{1}{| 4 |}$

Step 3.3

The absolute value is the distance between a number and zero. The distance between $0$ and $4$ is $4$ .

$\frac{1}{4}$