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Popular >

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

Solution

simplify

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

Solution

- 4 e^{x}

Solution steps

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

Apply exponent rule:

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

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

= (- 4) e^{5 x - 4 x}

Add similar elements:

5 x - 4 x = x

= (- 4) e^{x}

Remove parentheses:

(- a) = - a

= - 4 e^{x}

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Frequently Asked Questions (FAQ)

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