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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