What is simplify-((-xe^x)*e^{-2x}) ?

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

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simplify-((-xe^x)*e^{-2x})

simplify

- ((- x e^{x}) \cdot e^{- 2 x})

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

Solution steps

- ((- x e^{x}) e^{- 2 x})

Apply exponent rule:

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

= - \frac{1}{e ^{2 x}} (- e^{x} x)

Apply rule

- (- a) = a

= x e^{x} \frac{1}{e ^{2 x}}

Multiply fractions:

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

= \frac{1 \cdot x e ^{x}}{e ^{2 x}}

Multiply:

1 \cdot x = x

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

Apply exponent rule:

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

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

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

14.4 (101.53)^{- 0.718}

23.9 \cdot 1 0^{- 4}

y^{- 5}

(3 d) (10 d^{7})

356.9 \cdot 1 0^{- 6}

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