Precalculus Examples

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

Combine the opposite terms in $1 - \ln (x) - 1$ .

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Subtract $1$ from $1$ .

$e^{0 - \ln (x)}$

Subtract $\ln (x)$ from $0$ .

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

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

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

Exponentiation and log are inverse functions.

$x^{- 1}$

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

$\frac{1}{x}$