What is simplify-e^{-x}*x*(-e^{-x}) ?

The solution to simplify-e^{-x}*x*(-e^{-x}) is x/(e^{2x)}

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

simplify

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

\frac{x}{e ^{2 x}}

Solution steps

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

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= - \frac{1}{e ^{x}} x (- e^{- x})

Apply rule

- (- a) = a

= \frac{1}{e ^{x}} x e^{- x}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot x e ^{- x}}{e ^{x}}

Multiply:

1 \cdot x = x

= \frac{e ^{- x} x}{e ^{x}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

\frac{e ^{- x}}{e ^{x}} = e^{- x - x} = e^{- 2 x}

= \frac{x}{e ^{2 x}}

(1 - e^{- T}) Z^{- 1}

(4 a^{3} b) \cdot (3 b)

- y^{- 1} d y

0.0055 \cdot (41.7)^{- 0.47}

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