Algebra Examples

$\frac{- 1}{{(\sqrt{16})}^{3}}$

Step 1

Simplify the denominator.

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Step 1.1

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

$\frac{- 1}{{\sqrt{4^{2}}}^{3}}$

Step 1.2

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

$\frac{- 1}{4^{3}}$

Step 1.3

Raise $4$ to the power of $3$ .

$\frac{- 1}{64}$

Step 2

Move the negative in front of the fraction.

$- \frac{1}{64}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{64}$

Decimal Form:

$- 0.015625$