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Popular >

simplify (e^{-1})^{1/(e^{-1)}}

Solution

simplify

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

Solution

\frac{1}{e ^{e}}

+1

Decimal Notation

0.06598 \dots

Solution steps

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

Apply exponent rule:

(a^{b})^{c} = a^{b c}

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

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

= e^{- e}

Apply exponent rule:

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

= \frac{1}{e ^{e}}

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Frequently Asked Questions (FAQ)

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