What is 15e^{-250t}*0.04e^{-250t} ?

The solution to 15e^{-250t}*0.04e^{-250t} is 0.6e^{-500t}

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simplify 15e^{-250t}*0.04e^{-250t}

simplify

15 e^{- 250 t} \cdot 0.04 e^{- 250 t}

0.6 e^{- 500 t}

Solution steps

15 e^{- 250 t} \cdot 0.04 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 0.04 e^{- 250 t - 250 t}

Add similar elements:

- 250 t - 250 t = - 500 t

= 15 \cdot 0.04 e^{- 500 t}

Multiply the numbers:

15 \cdot 0.04 = 0.6

= 0.6 e^{- 500 t}

5.3 \cdot 1 0^{- 16} \cdot 9.8049

2 sin (s) (e^{- 3 s})

9 a^{2} y^{3} b^{2}

6.6 \cdot 1 0^{- 6}

15 e^{- \frac{6}{5}}

What is 15e^{-250t}*0.04e^{-250t} ?
The solution to 15e^{-250t}*0.04e^{-250t} is 0.6e^{-500t}