What is (-(20e^{-3t})/3)*(e^{-5t}) ?

The solution to (-(20e^{-3t})/3)*(e^{-5t}) is -(20)/(3e^{8t)}

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simplify (-(20e^{-3t})/3)*(e^{-5t})

simplify

(- \frac{20 e ^{- 3 t}}{3}) \cdot (e^{- 5 t})

- \frac{20}{3 e ^{8 t}}

Solution steps

(- \frac{20 e ^{- 3 t}}{3}) (e^{- 5 t})

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= (- \frac{20 e ^{- 3 t}}{3}) \frac{1}{e ^{5 t}}

Remove parentheses:

(- a) = - a

= - \frac{20 e ^{- 3 t}}{3} \cdot \frac{1}{e ^{5 t}}

Multiply fractions:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= - \frac{20 e ^{- 3 t} \cdot 1}{3 e ^{5 t}}

Multiply the numbers:

20 \cdot 1 = 20

= - \frac{20 e ^{- 3 t}}{3 e ^{5 t}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

\frac{e ^{- 3 t}}{e ^{5 t}} = e^{- 3 t - 5 t} = e^{- 8 t}

= - \frac{20}{3 e ^{8 t}}

1.71 x 1 0^{(- 4)}

\frac{( - 1 ) ^{n}}{2 ^{n}}

2 \cdot (\frac{1}{2} e^{- \frac{x}{2}})

77515 \cdot 281630.85 4^{- 0.2054}

- 6 \cdot e^{- 6 x}

What is (-(20e^{-3t})/3)*(e^{-5t}) ?
The solution to (-(20e^{-3t})/3)*(e^{-5t}) is -(20)/(3e^{8t)}