Convert to Radical Form (81^8)^(-1/4)

${(81^{8})}^{- \frac{1}{4}}$

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

$\frac{1}{{(81^{8})}^{\frac{1}{4}}}$

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

$\frac{1}{\sqrt[4]{{(81^{8})}^{1}}}$

Anything raised to $1$ is the base itself.

$\frac{1}{\sqrt[4]{81^{8}}}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{\sqrt[4]{81^{8}}}$

Decimal Form:

$0.00015241 \dots$