What is e^{-1}*1/(s^2+1) ?

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

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simplify e^{-1}*1/(s^2+1)

simplify

e^{- 1} \cdot \frac{1}{s ^{2} + 1}

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

Solution steps

e^{- 1} \frac{1}{s ^{2} + 1}

Apply exponent rule:

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

= \frac{1}{e} \cdot \frac{1}{s ^{2} + 1}

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 1 = 1

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

e^{2 x} \cdot 2 e^{- 2 x}

(10.5) (0.0821 \cdot 493)^{- 2}

(4 k^{2} h^{5}) (8 k h^{4})

190 \cdot 19.63 \cdot 1 0^{- 6}

8.854 \cdot 1 0^{- 12} (\frac{3}{0.004})