Algebra Examples

${(9)}^{- \frac{5}{2}}$

Step 1

Remove parentheses.

$9^{- \frac{5}{2}}$

Step 2

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

$\frac{1}{9^{\frac{5}{2}}}$

Step 3

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

$\frac{1}{\sqrt{9^{5}}}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{\sqrt{9^{5}}}$

Decimal Form:

$0.00411522 \dots$