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Popular >

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

Solution

simplify

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

Solution

2 e^{- 3 t}

Solution steps

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

Apply exponent rule:

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

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

= 2 e^{- 2 t - t}

Add similar elements:

- 2 t - t = - 3 t

= 2 e^{- 3 t}

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Frequently Asked Questions (FAQ)

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