What is (pi*17.65)/(2*3.972^{1.8)}e^{(-pi/4 ((17.65)/(3.972))^{1.8})} ?

The solution to (pi*17.65)/(2*3.972^{1.8)}e^{(-pi/4 ((17.65)/(3.972))^{1.8})} is 0.00002…

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simplify (pi17.65)/(23.972^{1.8)}e^{(-pi/4 ((17.65)/(3.972))^{1.8})}

simplify

\frac{π \cdot 17.65}{2 \cdot 3.97 2 ^{1.8}} e^{(- \frac{π}{4} (\frac{17.65}{3.972})^{1.8})}

0.00002 \dots

Solution steps

\frac{π 17.65}{2 \cdot 3.97 2 ^{1.8}} e^{(- \frac{π}{4} (\frac{17.65}{3.972})^{1.8})}

Apply exponent rule:

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

= \frac{17.65 π}{2 \cdot 3.97 2 ^{1.8}} \cdot \frac{1}{e ^{\frac{π}{4} (\frac{17.65}{3.972})^{1.8}}}

\frac{1}{e ^{\frac{π}{4} (\frac{17.65}{3.972})^{1.8}}} = \frac{1}{e ^{11.50836 \dots}}

= \frac{17.65 π}{2 \cdot 3.97 2 ^{1.8}} \cdot \frac{1}{e ^{11.50836 \dots}}

Multiply fractions:

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

= \frac{π 17.65 \cdot 1}{2 \cdot 3.97 2 ^{1.8} e ^{11.50836 \dots}}

Multiply the numbers:

17.65 \cdot 1 = 17.65

= \frac{17.65 π}{2 \cdot 3.97 2 ^{1.8} e ^{11.50836 \dots}}

3.97 2^{1.8} = 11.97337 \dots

= \frac{17.65 π}{2 \cdot 11.97337 \dots e ^{11.50836 \dots}}

Multiply the numbers:

17.65 \cdot 3.14159 \dots = 55.44911 \dots

= \frac{55.44911 \dots}{2 \cdot 11.97337 \dots e ^{11.50836 \dots}}

e^{11.50836 \dots} = 99545.25465 \dots

= \frac{55.44911 \dots}{2 \cdot 11.97337 \dots \cdot 99545.25465 \dots}

Multiply the numbers:

2 \cdot 11.97337 \dots \cdot 99545.25465 \dots = 2383785.58526 \dots

= \frac{55.44911 \dots}{2383785.58526 \dots}

Divide the numbers:

\frac{55.44911 \dots}{2383785.58526 \dots} = 0.00002 \dots

= 0.00002 \dots

44.31 e^{- 0.033 t} d x

x x^{^{'}}

5.66 \cdot 1 0^{- 3}

\frac{1}{2 π ^{2}} \cdot e^{- \frac{1}{2} (\frac{20 - 20}{2})^{2}}

1.37 \cdot 1 0^{- 12} (\frac{0.45}{8 \cdot 1 0 ^{- 6}})

What is (pi*17.65)/(2*3.972^{1.8)}e^{(-pi/4 ((17.65)/(3.972))^{1.8})} ?
The solution to (pi*17.65)/(2*3.972^{1.8)}e^{(-pi/4 ((17.65)/(3.972))^{1.8})} is 0.00002…