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Popular >

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

Solution

simplify

e^{- x} \cdot (- 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}

Remove parentheses:

(- a) = - a

= - x e^{- 2 x}

Popular Examples

simplify 4pi*10^{-7}((300^2)(4/(100^2)))/(0.25)simplify

4 π \cdot 1 0^{- 7} \frac{( 30 0 ^{2} ) ( \frac{4}{10 0 ^{2}} )}{0.25}

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(2 - 3) \cdot (2 + 3)

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\frac{1 0 ^{- 14}}{1 0 ^{- 6}} \cdot 0.01

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2.5 \cdot 1 0^{- 17} \frac{( 1 )}{( 3 )}

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e^{- 6 l n (x)}

Frequently Asked Questions (FAQ)

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