Basic Math Examples

${(3^{- 2} e^{4})}^{- 1}$

Step 1

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

${(\frac{1}{3^{2}} e^{4})}^{- 1}$

Step 2

Raise $3$ to the power of $2$ .

${(\frac{1}{9} e^{4})}^{- 1}$

Step 3

Combine $\frac{1}{9}$ and $e^{4}$ .

${(\frac{e^{4}}{9})}^{- 1}$

Step 4

Change the sign of the exponent by rewriting the base as its reciprocal.

$\frac{9}{e^{4}}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{e^{4}}$

Decimal Form:

$0.16484074 \dots$