What is e^{-3s}(4s+5)/(s^2+5s+6) ?

The solution to e^{-3s}(4s+5)/(s^2+5s+6) is (4s+5)/(e^{3s)(s^2+5s+6)}

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simplify e^{-3s}(4s+5)/(s^2+5s+6)

simplify

e^{- 3 s} \frac{4 s + 5}{s ^{2} + 5 s + 6}

\frac{4 s + 5}{e ^{3 s} ( s ^{2} + 5 s + 6 )}

Solution steps

e^{- 3 s} \frac{4 s + 5}{s ^{2} + 5 s + 6}

Apply exponent rule:

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

= \frac{1}{e ^{3 s}} \cdot \frac{4 s + 5}{s ^{2} + 5 s + 6}

Multiply fractions:

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

= \frac{1 \cdot ( 4 s + 5 )}{e ^{3 s} ( s ^{2} + 5 s + 6 )}

1 \cdot (4 s + 5) = 4 s + 5

= \frac{4 s + 5}{e ^{3 s} ( s ^{2} + 5 s + 6 )}

3.72 \cdot 1 0^{- 3}

e^{- 3.722}

2.34 \cdot 1 0^{- 5}

e^{- x} \cdot e^{(y + 1)}

e^{x} (4 e^{2 x})

What is e^{-3s}(4s+5)/(s^2+5s+6) ?
The solution to e^{-3s}(4s+5)/(s^2+5s+6) is (4s+5)/(e^{3s)(s^2+5s+6)}