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Popular >

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

Solution

simplify

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

Solution

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

+1

Decimal Notation

0.69220 \dots

Solution steps

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

Apply exponent rule:

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

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

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

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

Apply exponent rule:

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

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

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Frequently Asked Questions (FAQ)

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