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Popular >

simplify 2e^xe^{-4x}

Solution

simplify

2 e^{x} e^{- 4 x}

Solution

2 e^{- 3 x}

Solution steps

2 e^{x} e^{- 4 x}

Apply exponent rule:

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

e^{x} e^{- 4 x} = e^{x - 4 x}

= 2 e^{x - 4 x}

Add similar elements:

x - 4 x = - 3 x

= 2 e^{- 3 x}

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Frequently Asked Questions (FAQ)

What is 2e^xe^{-4x} ?
The solution to 2e^xe^{-4x} is 2e^{-3x}