簡約 2.718^{-(0.0158)/(sqrt(1-0.0158^2))*pi}

解

簡約

2.71 8^{- \frac{0.0158}{1 - 0.015 8 ^{2}} \cdot π}

0.95157 \dots

解答ステップ

2.71 8^{- \frac{0.0158}{1 - 0.015 8 ^{2}} π}

指数の規則を適用する:

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

= \frac{1}{2.71 8 ^{π \frac{0.0158}{1 - 0.015 8 ^{2}}}}

1 - 0.015 8^{2} = 0.99975036

= \frac{1}{2.71 8 ^{π \frac{0.0158}{0.99975036}}}

2.71 8^{\frac{0.0158}{0.99975036} π} = 2.71 8^{0.04964 \dots}

= \frac{1}{2.71 8 ^{0.04964 \dots}}

2.71 8^{0.04964 \dots} = 1.05089 \dots

= \frac{1}{1.05089 \dots}

数を割る:

\frac{1}{1.05089 \dots} = 0.95157 \dots

= 0.95157 \dots