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Popular >

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

Solution

simplify

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

Solution

e^{- x^{2}}

Solution steps

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

Apply exponent rule:

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

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

Simplify

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

= e^{- x^{2}}

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Frequently Asked Questions (FAQ)

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