Calculus Examples

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

Step 1

Simplify $- \ln (4)$ by moving $- 1$ inside the logarithm.

$e^{\ln (4^{- 1})}$

Step 2

Exponentiation and log are inverse functions.

$4^{- 1}$

Step 3

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

$\frac{1}{4}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{4}$

Decimal Form:

$0.25$