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Popular >

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

Solution

simplify

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

Solution

e^{- 2 x} x

Solution steps

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

Apply exponent rule:

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

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

= x e^{- x - x}

Add similar elements:

- x - x = - 2 x

= x e^{- 2 x}

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Frequently Asked Questions (FAQ)

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