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

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

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

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

Apply rule

- (- a) = a

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

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

xx = x^{1 + 1}

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

Add the numbers:

1 + 1 = 2

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

Multiply fractions:

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

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

Multiply:

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

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

- 39.76 e^{- 0.56 (0.25)}

20 \cdot 6^{- 0.3219}

- ((k) (b) (a N^{- (1 - a)}))

\frac{4. 5 ^{4}}{6. 5 ^{4}}

\frac{1.7 4 ^{2}}{2.5 3 ^{2}}

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