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

$81^{- \frac{1}{4}}$

Step 1

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

$\frac{1}{81^{\frac{1}{4}}}$

Step 2

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

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

Step 3

Anything raised to $1$ is the base itself.

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

Step 4

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$0.\overline{3}$