Algebra Examples

${(\sqrt[3]{64})}^{- 2}$

Step 1

Rewrite $64$ as $4^{3}$ .

${\sqrt[3]{4^{3}}}^{- 2}$

Step 2

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

$4^{- 2}$

Step 3

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{4^{2}}$

Step 4

Raise $4$ to the power of $2$ .

$\frac{1}{16}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{16}$

Decimal Form:

$0.0625$