Precalculus Examples

$x^{5} e^{- 3 \ln (x)}$

Step 1

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

$x^{5} e^{\ln (x^{- 3})}$

Step 2

Exponentiation and log are inverse functions.

$x^{5} x^{- 3}$

Step 3

Multiply $x^{5}$ by $x^{- 3}$ by adding the exponents.

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Step 3.1

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$x^{5 - 3}$

Step 3.2

Subtract $3$ from $5$ .

$x^{2}$