What is e^{-4t}sqrt(pi/(s-2)) ?

The solution to e^{-4t}sqrt(pi/(s-2)) is (sqrt(pi))/(e^{4t)sqrt(s-2)}

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simplify e^{-4t}sqrt(pi/(s-2))

simplify

e^{- 4 t} \frac{π}{s - 2}

\frac{π}{e ^{4 t} s - 2}

Solution steps

e^{- 4 t} \frac{π}{s - 2}

Apply exponent rule:

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

= \frac{1}{e ^{4 t}} \frac{π}{s - 2}

Multiply fractions:

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

= \frac{1 \cdot \frac{π}{s - 2}}{e ^{4 t}}

Multiply:

1 \cdot \frac{π}{s - 2} = \frac{π}{s - 2}

= \frac{\frac{π}{s - 2}}{e ^{4 t}}

\frac{π}{s - 2} = \frac{π}{s - 2}

= \frac{\frac{π}{s - 2}}{e ^{4 t}}

Apply the fraction rule:

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

= \frac{π}{s - 2 e ^{4 t}}

3.6 x 1 0^{- 3}

(a + b)^{- 15}

e^{- \frac{3}{10}}

8 \cdot 83

e^{- \frac{x}{50}}

What is e^{-4t}sqrt(pi/(s-2)) ?
The solution to e^{-4t}sqrt(pi/(s-2)) is (sqrt(pi))/(e^{4t)sqrt(s-2)}