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Popular >

simplify e^{-x^2}*e^{-x^2}

Solution

simplify

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

Solution

e^{- 2 x^{2}}

Solution steps

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

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

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

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

Add similar elements:

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

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

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Frequently Asked Questions (FAQ)

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