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Popular >

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

Solution

simplify

e^{- x^{2}}

Solution

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

Solution steps

e^{- x^{2}}

Apply radical rule:

a = a^{\frac{1}{2}}

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

Apply exponent rule:

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

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

Simplify

(- x^{2}) \frac{1}{2} : - \frac{x ^{2}}{2}

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

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Frequently Asked Questions (FAQ)

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