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Popular >

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

Solution

simplify

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

Solution

3 e^{- t}

Solution steps

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

Apply exponent rule:

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

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

= 3 e^{- 2 t + t}

Add similar elements:

- 2 t + t = - t

= 3 e^{- t}

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Frequently Asked Questions (FAQ)

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