Calculus Examples

$9^{\frac{1}{4}} \cdot 81^{- \frac{5}{8}}$

Step 1

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

$9^{\frac{1}{4}} \cdot \frac{1}{81^{\frac{5}{8}}}$

Step 2

Combine $9^{\frac{1}{4}}$ and $\frac{1}{81^{\frac{5}{8}}}$ .

$\frac{9^{\frac{1}{4}}}{81^{\frac{5}{8}}}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{9^{\frac{1}{4}}}{81^{\frac{5}{8}}}$

Decimal Form:

$0.\overline{1}$