Calculus Examples

$e^{- 4 \ln (3)}$

Step 1

Simplify $- 4 \ln (3)$ by moving $- 4$ inside the logarithm.

$e^{\ln (3^{- 4})}$

Step 2

Exponentiation and log are inverse functions.

$3^{- 4}$

Step 3

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

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

Step 4

Raise $3$ to the power of $4$ .

$\frac{1}{81}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{81}$

Decimal Form:

$0.01234567 \dots$