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Popular >

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

Solution

simplify

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

Solution

e^{- 2 t}

Solution steps

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

Apply exponent rule:

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

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

= e^{- 3 t + t}

Add similar elements:

- 3 t + t = - 2 t

= e^{- 2 t}

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(45) 5

Frequently Asked Questions (FAQ)

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