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Popular >

simplify e^{3t}*(-2)e^{-2t}

Solution

simplify

e^{3 t} \cdot (- 2) e^{- 2 t}

Solution

- 2 e^{t}

Solution steps

e^{3 t} (- 2) e^{- 2 t}

Apply exponent rule:

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

e^{3 t} e^{- 2 t} = e^{3 t - 2 t}

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

Add similar elements:

3 t - 2 t = t

= (- 2) e^{t}

Remove parentheses:

(- a) = - a

= - 2 e^{t}

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Frequently Asked Questions (FAQ)

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