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Popular >

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

Solution

simplify

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

Solution

e^{- 2 x^{2}}

Solution steps

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

Apply exponent rule:

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

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

Remove parentheses:

(- a) = - a

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

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Frequently Asked Questions (FAQ)

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