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Popular >

simplify 3e^{-2t}*e^{-15t}

Solution

simplify

3 e^{- 2 t} \cdot e^{- 15 t}

Solution

3 e^{- 17 t}

Solution steps

3 e^{- 2 t} e^{- 15 t}

Apply exponent rule:

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

e^{- 2 t} e^{- 15 t} = e^{- 2 t - 15 t}

= 3 e^{- 2 t - 15 t}

Add similar elements:

- 2 t - 15 t = - 17 t

= 3 e^{- 17 t}

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Frequently Asked Questions (FAQ)

What is 3e^{-2t}*e^{-15t} ?
The solution to 3e^{-2t}*e^{-15t} is 3e^{-17t}