What is ((1500t+1)e^{-150t})(0.04e^{-150t}) ?

The solution to ((1500t+1)e^{-150t})(0.04e^{-150t}) is 0.04e^{-300t}(1500t+1)

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simplify ((1500t+1)e^{-150t})(0.04e^{-150t})

simplify

((1500 t + 1) e^{- 150 t}) (0.04 e^{- 150 t})

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

Solution steps

((1500 t + 1) e^{- 150 t}) (0.04 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 0.04 e^{- 150 t - 150 t}

Add similar elements:

- 150 t - 150 t = - 300 t

= (1500 t + 1) \cdot 0.04 e^{- 300 t}

\frac{0.5 3 ^{2}}{0.8 8 ^{2}}

e^{- 1.7 x} \cdot - \frac{( 69 e ^{- \frac{69 x}{5}} )}{5}

3 (25 x^{2}) (3 y)

(1000) (1 \cdot 1 0^{- 3}) (9.81)

What is ((1500t+1)e^{-150t})(0.04e^{-150t}) ?
The solution to ((1500t+1)e^{-150t})(0.04e^{-150t}) is 0.04e^{-300t}(1500t+1)