Algebra Examples

${(27)}^{- \frac{1}{3}}$

Step 1

Remove parentheses.

$27^{- \frac{1}{3}}$

Step 2

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

$\frac{1}{27^{\frac{1}{3}}}$

Step 3

Apply the rule $x^{\frac{m}{n}} = \sqrt[n]{x^{m}}$ to rewrite the exponentiation as a radical.

$\frac{1}{\sqrt[3]{27^{1}}}$

Step 4

Anything raised to $1$ is the base itself.

$\frac{1}{\sqrt[3]{27}}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{\sqrt[3]{27}}$

Decimal Form:

$0.\overline{3}$