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Popular >

simplify e^{-1}*ln(e^{-1})

Solution

simplify

e^{- 1} \cdot ln (e^{- 1})

Solution

- \frac{1}{e}

+1

Decimal Notation

- 0.36787 \dots

Solution steps

e^{- 1} ln (e^{- 1})

Apply exponent rule:

a^{- 1} = \frac{1}{a}

= \frac{1}{e} ln (e^{- 1})

Simplify

ln (e^{- 1}) : - 1

= (- 1) \frac{1}{e}

Simplify

= - \frac{1}{e}

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Frequently Asked Questions (FAQ)

What is e^{-1}*ln(e^{-1}) ?
The solution to e^{-1}*ln(e^{-1}) is -1/e