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

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

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

simplify

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

- 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}

8.56 \cdot 314.15 \cdot 1 0^{- 4}

\frac{3 \cdot 1 0 ^{8}}{4 \cdot 11 \cdot 1 0 ^{- 3}} \cdot 1 0^{- 9}

\frac{3}{2 z}

4 (0) e^{- 0}

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