Convert to Radical Form 81^(-3/4)

$81^{- \frac{3}{4}}$

Remove the negative exponent.

$\frac{1}{81^{\frac{3}{4}}}$

If $n$ is a positive integer that is greater than $x$ and $a$ is a real number or a factor, then $a^{\frac{x}{n}} = \sqrt[n]{a^{x}}$ .

$a^{\frac{x}{n}} = \sqrt[n]{a^{x}}$

Use the rule to convert $\frac{1}{81^{\frac{3}{4}}}$ to a radical, where $a = 81$ , $x = 3$ , and $n = 4$ .

$\frac{1}{\sqrt[4]{81^{3}}}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{\sqrt[4]{81^{3}}}$

Decimal Form:

$0.\overline{037}$

Convert to Radical Form 81^(-3/4)

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