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Popular >

simplify 2e^{-3t}*e^{5t}

Solution

simplify

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

Solution

2 e^{2 t}

Solution steps

2 e^{- 3 t} e^{5 t}

Apply exponent rule:

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

e^{- 3 t} e^{5 t} = e^{- 3 t + 5 t}

= 2 e^{- 3 t + 5 t}

Add similar elements:

- 3 t + 5 t = 2 t

= 2 e^{2 t}

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Frequently Asked Questions (FAQ)

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