What is e^{-3s}(2/(s^2)+6/s) ?

The solution to e^{-3s}(2/(s^2)+6/s) is (6s+2)/(e^{3s)s^2}

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simplify e^{-3s}(2/(s^2)+6/s)

simplify

e^{- 3 s} (\frac{2}{s ^{2}} + \frac{6}{s})

\frac{6 s + 2}{e ^{3 s} s ^{2}}

Solution steps

e^{- 3 s} (\frac{2}{s ^{2}} + \frac{6}{s})

Apply exponent rule:

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

= \frac{1}{e ^{3 s}} (\frac{2}{s ^{2}} + \frac{6}{s})

Multiply fractions:

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

= \frac{1 \cdot ( \frac{2}{s ^{2}} + \frac{6}{s} )}{e ^{3 s}}

1 \cdot (\frac{2}{s ^{2}} + \frac{6}{s}) = \frac{2}{s ^{2}} + \frac{6}{s}

= \frac{\frac{2}{s ^{2}} + \frac{6}{s}}{e ^{3 s}}

Join

\frac{2}{s ^{2}} + \frac{6}{s} : \frac{2 + 6 s}{s ^{2}}

= \frac{\frac{2 + 6 s}{s ^{2}}}{e ^{3 s}}

Apply the fraction rule:

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

= \frac{2 + 6 s}{s ^{2} e ^{3 s}}

d (v (t) e^{- t})

e^{x}

44.8 \cdot 1 0^{- 6} \cdot 17

(3.5 \cdot 1 0^{7}) (8.2 \cdot 1 0^{5})

(2 y^{3}) 2

What is e^{-3s}(2/(s^2)+6/s) ?
The solution to e^{-3s}(2/(s^2)+6/s) is (6s+2)/(e^{3s)s^2}