簡約 1/(0.86)*e^{-(1/(0.86)+1)}

解

簡約

\frac{1}{0.86} \cdot e^{- (\frac{1}{0.86} + 1)}

0.13372 \dots

解答ステップ

\frac{1}{0.86} e^{- (\frac{1}{0.86} + 1)}

指数の規則を適用する:

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

= \frac{1}{0.86} \cdot \frac{1}{e ^{(\frac{1}{0.86} + 1)}}

括弧を削除する:

(a) = a

= \frac{1}{0.86} \cdot \frac{1}{e ^{\frac{1}{0.86} + 1}}

e^{\frac{1}{0.86} + 1} = e^{2.16279 \dots}

= \frac{1}{0.86} \cdot \frac{1}{e ^{2.16279 \dots}}

分数を乗じる:

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

= \frac{1 \cdot 1}{0.86 e ^{2.16279 \dots}}

数を乗じる:

1 \cdot 1 = 1

= \frac{1}{0.86 e ^{2.16279 \dots}}

e^{2.16279 \dots} = 8.69536 \dots

= \frac{1}{0.86 \cdot 8.69536 \dots}

数を乗じる:

0.86 \cdot 8.69536 \dots = 7.47801 \dots

= \frac{1}{7.47801 \dots}

数を割る:

\frac{1}{7.47801 \dots} = 0.13372 \dots

= 0.13372 \dots