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Popular >

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

Solution

simplify

e^{x} (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

Popular Examples

simplify 0.2*10.1*10^{-3}simplify

0.2 \cdot 10.1 \cdot 1 0^{- 3}

simplify 2.5*10^{-14}simplify

2.5 \cdot 1 0^{- 14}

simplify sqrt(7^1)simplify

7^{1}

simplify e^{-1.28}simplify

e^{- 1.28}

simplify z^{-1}{e^{3/z}}simplify

z^{- 1} {e^{\frac{3}{z}}}

Frequently Asked Questions (FAQ)

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