What is (100(s+2))/(s(s^2+4)(s+1))e^{-3} ?

The solution to (100(s+2))/(s(s^2+4)(s+1))e^{-3} is (100(s+2))/(e^3s(s+1)(s^2+4))

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simplify (100(s+2))/(s(s^2+4)(s+1))e^{-3}

simplify

\frac{100 ( s + 2 )}{s ( s ^{2} + 4 ) ( s + 1 )} e^{- 3}

\frac{100 ( s + 2 )}{e ^{3} s ( s + 1 ) ( s ^{2} + 4 )}

Solution steps

\frac{100 ( s + 2 )}{s ( s ^{2} + 4 ) ( s + 1 )} e^{- 3}

Apply exponent rule:

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

= \frac{1}{e ^{3}} \cdot \frac{100 ( s + 2 )}{s ( s ^{2} + 4 ) ( s + 1 )}

Multiply fractions:

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

= \frac{100 ( s + 2 ) \cdot 1}{s ( s ^{2} + 4 ) ( s + 1 ) e ^{3}}

Multiply the numbers:

100 \cdot 1 = 100

= \frac{100 ( s + 2 )}{e ^{3} s ( s ^{2} + 4 ) ( s + 1 )}

e^{- 10} \cdot 1 0^{7} \frac{1}{7 !}

120 \cdot 4^{- 0.51457}

\frac{4 \frac{2}{5}}{\frac{2}{3}}

9 \cdot 1 0^{- 2} \cdot (2.2)

e^{- 4 \cdot (9)}

What is (100(s+2))/(s(s^2+4)(s+1))e^{-3} ?
The solution to (100(s+2))/(s(s^2+4)(s+1))e^{-3} is (100(s+2))/(e^3s(s+1)(s^2+4))