What is e^{-2s}sqrt(pi/(s^3-6s^2+12s-8)) ?

The solution to e^{-2s}sqrt(pi/(s^3-6s^2+12s-8)) is (sqrt(pi))/(e^{2s)sqrt(s^3-6s^2+12s-8)}

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simplify e^{-2s}sqrt(pi/(s^3-6s^2+12s-8))

simplify

e^{- 2 s} \frac{π}{s ^{3} - 6 s ^{2} + 12 s - 8}

\frac{π}{e ^{2 s} s ^{3} - 6 s ^{2} + 12 s - 8}

Solution steps

e^{- 2 s} \frac{π}{s ^{3} - 6 s ^{2} + 12 s - 8}

Apply exponent rule:

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

= \frac{1}{e ^{2 s}} \frac{π}{s ^{3} - 6 s ^{2} + 12 s - 8}

Multiply fractions:

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

= \frac{1 \cdot \frac{π}{s ^{3} - 6 s ^{2} + 12 s - 8}}{e ^{2 s}}

Multiply:

1 \cdot \frac{π}{s ^{3} - 6 s ^{2} + 12 s - 8} = \frac{π}{s ^{3} - 6 s ^{2} + 12 s - 8}

= \frac{\frac{π}{s ^{3} - 6 s ^{2} + 12 s - 8}}{e ^{2 s}}

\frac{π}{s ^{3} - 6 s ^{2} + 12 s - 8} = \frac{π}{s ^{3} - 6 s ^{2} + 12 s - 8}

= \frac{\frac{π}{s ^{3} - 6 s ^{2} + 12 s - 8}}{e ^{2 s}}

Apply the fraction rule:

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

= \frac{π}{s ^{3} - 6 s ^{2} + 12 s - 8 e ^{2 s}}

680 e^{- 0.0892 t} \cdot (- 0.0892)

20 e^{- 0.5 (4)}

e^{- 23.26}

3 x \cdot x

\frac{x ^{a}}{y ^{a}}

What is e^{-2s}sqrt(pi/(s^3-6s^2+12s-8)) ?
The solution to e^{-2s}sqrt(pi/(s^3-6s^2+12s-8)) is (sqrt(pi))/(e^{2s)sqrt(s^3-6s^2+12s-8)}