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

The solution to simplify-2e^{-2x}*xe^{-2x} is -2e^{-4x}x

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

simplify

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

- 2 e^{- 4 x} x

Solution steps

- 2 e^{- 2 x} x e^{- 2 x}

Apply exponent rule:

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

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

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

Add similar elements:

- 2 x - 2 x = - 4 x

= - 2 x e^{- 4 x}

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

25 \cdot e^{- 5}

2.6 \cdot 20 \cdot 1 0^{- 3}

\frac{3 - 2}{3 + 2}

What is simplify-2e^{-2x}*xe^{-2x} ?
The solution to simplify-2e^{-2x}*xe^{-2x} is -2e^{-4x}x