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Popular >

simplify 4e^{-x}e^{5x}

Solution

simplify

4 e^{- x} e^{5 x}

Solution

4 e^{4 x}

Solution steps

4 e^{- x} e^{5 x}

Apply exponent rule:

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

e^{- x} e^{5 x} = e^{- x + 5 x}

= 4 e^{- x + 5 x}

Add similar elements:

- x + 5 x = 4 x

= 4 e^{4 x}

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Frequently Asked Questions (FAQ)

What is 4e^{-x}e^{5x} ?
The solution to 4e^{-x}e^{5x} is 4e^{4x}