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Popular >

simplify e^xe^{-3x}e^4

Solution

simplify

e^{x} \cdot e^{- 3 x} \cdot e^{4}

Solution

e^{- 2 x + 4}

Solution steps

e^{x} e^{- 3 x} e^{4}

Apply exponent rule:

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

e^{x} e^{- 3 x} e^{4} = e^{x - 3 x + 4}

= e^{x - 3 x + 4}

Add similar elements:

x - 3 x = - 2 x

= e^{- 2 x + 4}

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Frequently Asked Questions (FAQ)

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