What is 15e^{-250t}*40e^{-250t} ?

The solution to 15e^{-250t}*40e^{-250t} is 600e^{-500t}

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simplify 15e^{-250t}*40e^{-250t}

simplify

15 e^{- 250 t} \cdot 40 e^{- 250 t}

600 e^{- 500 t}

Solution steps

15 e^{- 250 t} \cdot 40 e^{- 250 t}

Apply exponent rule:

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

e^{- 250 t} e^{- 250 t} = e^{- 250 t - 250 t}

= 15 \cdot 40 e^{- 250 t - 250 t}

Add similar elements:

- 250 t - 250 t = - 500 t

= 15 \cdot 40 e^{- 500 t}

Multiply the numbers:

15 \cdot 40 = 600

= 600 e^{- 500 t}

e^{- 2 t} 8

\frac{1}{3} e^{3 x} \cdot e^{3 x}

- 40.4 \cdot 1 0^{- 3}

e^{j θ} \cdot e^{- j θ}

4 e^{- 0.3 t}

What is 15e^{-250t}*40e^{-250t} ?
The solution to 15e^{-250t}*40e^{-250t} is 600e^{-500t}