Convert to Radical Form (27)^(-2/3)

${(27)}^{- \frac{2}{3}}$

Remove parentheses.

$27^{- \frac{2}{3}}$

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

$\frac{1}{27^{\frac{2}{3}}}$

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

$\frac{1}{\sqrt[3]{27^{2}}}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{\sqrt[3]{27^{2}}}$

Decimal Form:

$0.\overline{1}$