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Popular >

simplify 2xe^{-x}e^x

Solution

simplify

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

Solution

2 x

Solution steps

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

Apply exponent rule:

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

e^{- x} e^{x} = e^{- x + x}

= 2 x e^{- x + x}

Add similar elements:

- x + x = 0

= 2 x e^{0}

Apply rule

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

e^{0} = 1

= 2 \cdot 1 \cdot x

Multiply the numbers:

2 \cdot 1 = 2

= 2 x

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Frequently Asked Questions (FAQ)

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