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Popular >

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

Solution

simplify

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

Solution

3 e^{- t}

Solution steps

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

Apply exponent rule:

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

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

= 3 e^{t - 2 t}

Add similar elements:

t - 2 t = - t

= 3 e^{- t}

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Frequently Asked Questions (FAQ)

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