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Popular >

simplify xe^xe^{-x}

Solution

simplify

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

Solution

x

Solution steps

x e^{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

Popular Examples

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3.12 \cdot 2.6 \cdot 1 0^{- 2}

domain of f(x)=(e^{x/4})^2 domain

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simplify 4(1.6*10^{-8})simplify

4 (1.6 \cdot 1 0^{- 8})

simplify 10e^{-9}simplify

10 e^{- 9}

simplify ((-a^2-5)^2)/(a^2)simplify

\frac{( - a ^{2} - 5 ) ^{2}}{a ^{2}}

Frequently Asked Questions (FAQ)

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