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

解

簡約

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

0.62729 \dots

解答ステップ

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

指数の規則を適用する:

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}

数を割る:

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

= 0.62729 \dots