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Popular >

simplify e^x*(-3)e^{-3x}

Solution

simplify

e^{x} \cdot (- 3) e^{- 3 x}

Solution

- 3 e^{- 2 x}

Solution steps

e^{x} (- 3) e^{- 3 x}

Apply exponent rule:

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

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

= (- 3) e^{x - 3 x}

Add similar elements:

x - 3 x = - 2 x

= (- 3) e^{- 2 x}

Remove parentheses:

(- a) = - a

= - 3 e^{- 2 x}

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Frequently Asked Questions (FAQ)

What is e^x*(-3)e^{-3x} ?
The solution to e^x*(-3)e^{-3x} is -3e^{-2x}