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Popular >

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

Solution

simplify

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

Solution

e^{t}

Solution steps

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

Apply exponent rule:

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

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

= e^{- 2 t + 3 t}

Add similar elements:

- 2 t + 3 t = t

= e^{t}

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Frequently Asked Questions (FAQ)

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