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Popular >

simplify (e^x)^{-x}

Solution

simplify

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

Solution

e^{- x^{2}}

Solution steps

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

Apply exponent rule:

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

= e^{x (- x)}

Simplify

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

= e^{- x^{2}}

Popular Examples

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12 e^{- 0.01 (10)}

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4^{- \frac{2}{3} = l o g_{4} (x + 4)}

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\frac{7 ^{0}}{0 !} e^{- 7}

Frequently Asked Questions (FAQ)

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