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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

Remove parentheses:

(- a) = - a

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

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Frequently Asked Questions (FAQ)

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