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Popular >

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

Solution

simplify

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

Solution

e^{- 4 t}

Solution steps

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

Apply exponent rule:

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

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

= e^{- t - 3 t}

Add similar elements:

- t - 3 t = - 4 t

= e^{- 4 t}

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Frequently Asked Questions (FAQ)

What is e^{-t}*e^{-3t} ?
The solution to e^{-t}*e^{-3t} is e^{-4t}