What is (1500t+1)e^{-150t}*40e^{-150t} ?

The solution to (1500t+1)e^{-150t}*40e^{-150t} is 40e^{-300t}(1500t+1)

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simplify (1500t+1)e^{-150t}*40e^{-150t}

simplify

(1500 t + 1) e^{- 150 t} \cdot 40 e^{- 150 t}

40 e^{- 300 t} (1500 t + 1)

Solution steps

(1500 t + 1) e^{- 150 t} \cdot 40 e^{- 150 t}

Apply exponent rule:

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

e^{- 150 t} e^{- 150 t} = e^{- 150 t - 150 t}

= (1500 t + 1) \cdot 40 e^{- 150 t - 150 t}

Add similar elements:

- 150 t - 150 t = - 300 t

= (1500 t + 1) \cdot 40 e^{- 300 t}

(\frac{1}{2} k^{2} w^{2} z^{3}) (\frac{5}{3} k^{2} w^{2} z) (\frac{4}{3} w z)

3.28 \cdot 1 0^{- 6}

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

275500 (1 + \frac{0.11}{2})^{- 10} (1 + 0.11 (\frac{11}{12}))

\frac{x - 2}{5 - x}

What is (1500t+1)e^{-150t}*40e^{-150t} ?
The solution to (1500t+1)e^{-150t}*40e^{-150t} is 40e^{-300t}(1500t+1)