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Popular >

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

Solution

simplify

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

Solution

e^{- 4 x} x

Solution steps

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}

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

Add similar elements:

- 2 x - 2 x = - 4 x

= x e^{- 4 x}

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Frequently Asked Questions (FAQ)

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