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Popular >

simplify e^{-x^{-1}}

Solution

simplify

e^{- x^{- 1}}

Solution

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

Solution steps

e^{- x^{- 1}}

Apply exponent rule:

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

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

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

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

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Frequently Asked Questions (FAQ)

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