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Popular >

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

Solution

simplify

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

Solution

5 e^{x}

Solution steps

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

Apply exponent rule:

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

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

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

Add similar elements:

- 4 x + 5 x = x

= 5 e^{x}

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Frequently Asked Questions (FAQ)

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