Precalculus Examples

$e^{- 2 \ln (x)}$

Step 1

Simplify $- 2 \ln (x)$ by moving $- 2$ inside the logarithm.

$e^{\ln (x^{- 2})}$

Step 2

Exponentiation and log are inverse functions.

$x^{- 2}$

Step 3

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

$\frac{1}{x^{2}}$