Evaluate sixth root of 1/64

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Algebra

$\sqrt[6]{\frac{1}{64}}$

Rewrite $\sqrt[6]{\frac{1}{64}}$ as $\frac{\sqrt[6]{1}}{\sqrt[6]{64}}$ .

$\frac{\sqrt[6]{1}}{\sqrt[6]{64}}$

Any root of $1$ is $1$ .

$\frac{1}{\sqrt[6]{64}}$

Simplify the denominator.

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Rewrite $64$ as $2^{6}$ .

$\frac{1}{\sqrt[6]{2^{6}}}$

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

$\frac{1}{2}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$

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