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Popular >

simplify e^{-(e^{-x^2})^2}

Solution

simplify

e^{- (e^{- x^{2}})^{2}}

Solution

\frac{1}{e ^{e^{- 2 x^{2}}}}

Solution steps

e^{- (e^{- x^{2}})^{2}}

Apply exponent rule:

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

= \frac{1}{e ^{(e^{- x^{2}})^{2}}}

e^{(e^{- x^{2}})^{2}} = e^{e^{- 2 x^{2}}}

= \frac{1}{e ^{e^{- 2 x^{2}}}}

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Frequently Asked Questions (FAQ)

What is e^{-(e^{-x^2})^2} ?
The solution to e^{-(e^{-x^2})^2} is 1/(e^{e^{-2x^2)}}