Finite Math Examples

$\frac{1}{{(\sqrt[3]{512})}^{4}}$

Step 1

Rewrite $512$ as $8^{3}$ .

$\frac{1}{{\sqrt[3]{8^{3}}}^{4}}$

Step 2

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

$\frac{1}{8^{4}}$

Step 3

Raise $8$ to the power of $4$ .

$\frac{1}{4096}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{4096}$

Decimal Form:

$0.00024414 \dots$