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Popular >

simplify e^{-x}*xe^x

Solution

simplify

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

Solution

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 = 0

= x e^{0}

Apply rule

a^{0} = 1, a \neq = 0

e^{0} = 1

= 1 \cdot x

Multiply:

x \cdot 1 = x

= x

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Frequently Asked Questions (FAQ)

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