Precalculus Examples

$\sqrt[4]{\frac{1}{16}}$

Step 1

Rewrite $\sqrt[4]{\frac{1}{16}}$ as $\frac{\sqrt[4]{1}}{\sqrt[4]{16}}$ .

$\frac{\sqrt[4]{1}}{\sqrt[4]{16}}$

Step 2

Any root of $1$ is $1$ .

$\frac{1}{\sqrt[4]{16}}$

Step 3

Simplify the denominator.

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Step 3.1

Rewrite $16$ as $2^{4}$ .

$\frac{1}{\sqrt[4]{2^{4}}}$

Step 3.2

Pull terms out from under the radical, assuming positive real numbers.

$\frac{1}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$