簡約 e^{-(0.316pi)/(sqrt(1-0.316^2))}100

解

簡約

e^{- \frac{0.316 \cdot π}{1 - 0.31 6 ^{2}}} \cdot 100

35.12139 \dots

解答ステップ

e^{- \frac{0.316 π}{1 - 0.31 6 ^{2}}} \cdot 100

指数の規則を適用する:

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

= 100 \cdot \frac{1}{e ^{\frac{0.316 π}{1 - 0.31 6 ^{2}}}}

1 - 0.31 6^{2} = 0.900144

= 100 \cdot \frac{1}{e ^{\frac{0.316 π}{0.900144}}}

分数を乗じる:

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

= \frac{1 \cdot 100}{e ^{\frac{0.316 π}{0.900144}}}

数を乗じる:

1 \cdot 100 = 100

= \frac{100}{e ^{\frac{0.316 π}{0.900144}}}

e^{\frac{0.316 π}{0.900144}} = 2.84726 \dots

= \frac{100}{2.84726 \dots}

数を割る:

\frac{100}{2.84726 \dots} = 35.12139 \dots

= 35.12139 \dots