What is e^{-pi*(0.14683)/(sqrt(1-0.14683^2))} ?

The solution to e^{-pi*(0.14683)/(sqrt(1-0.14683^2))} is 0.62729…

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simplify e^{-pi*(0.14683)/(sqrt(1-0.14683^2))}

simplify

e^{- π \cdot \frac{0.14683}{1 - 0.1468 3 ^{2}}}

0.62729 \dots

Solution steps

e^{- π \frac{0.14683}{1 - 0.1468 3 ^{2}}}

Apply exponent rule:

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

= \frac{1}{e ^{π \frac{0.14683}{1 - 0.1468 3 ^{2}}}}

1 - 0.1468 3^{2} = 0.9784409511

= \frac{1}{e ^{π \frac{0.14683}{0.9784409511}}}

e^{π \frac{0.14683}{0.9784409511}} = e^{0.46633 \dots}

= \frac{1}{e ^{0.46633 \dots}}

e^{0.46633 \dots} = 1.59413 \dots

= \frac{1}{1.59413 \dots}

Divide the numbers:

\frac{1}{1.59413 \dots} = 0.62729 \dots

= 0.62729 \dots

e^{- \frac{4}{4}}

e^{- 2.28874135}

2 x (x x - 1) (\frac{x}{2 x - 1} + x - 1)

(\frac{1}{3}) e^{- 3 (\frac{1}{3})}

What is e^{-pi*(0.14683)/(sqrt(1-0.14683^2))} ?
The solution to e^{-pi*(0.14683)/(sqrt(1-0.14683^2))} is 0.62729…