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Popular >

simplify e^t*5e^{-3t}

Solution

simplify

e^{t} \cdot 5 e^{- 3 t}

Solution

5 e^{- 2 t}

Solution steps

e^{t} \cdot 5 e^{- 3 t}

Apply exponent rule:

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

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

= 5 e^{t - 3 t}

Add similar elements:

t - 3 t = - 2 t

= 5 e^{- 2 t}

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Frequently Asked Questions (FAQ)

What is e^t*5e^{-3t} ?
The solution to e^t*5e^{-3t} is 5e^{-2t}