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Popular >

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

Solution

simplify

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

Solution

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 = 0

= x e^{0}

Apply rule

a^{0} = 1, a \neq = 0

e^{0} = 1

= 1 \cdot x

Multiply:

x \cdot 1 = x

= x

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Frequently Asked Questions (FAQ)

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