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Popular >

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

Solution

simplify

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

Solution

e^{- x^{2}}

Solution steps

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

Apply exponent rule:

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

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

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

Add similar elements:

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

= e^{- x^{2}}

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Frequently Asked Questions (FAQ)

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