簡約 5/2 e^{-(-3.1606)/2}

解

簡約

\frac{5}{2} e^{- \frac{- 3.1606}{2}}

12.14103 \dots

解答ステップ

\frac{5}{2} e^{- \frac{- 3.1606}{2}}

指数の規則を適用する:

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

= \frac{5}{2} \cdot \frac{1}{e ^{\frac{- 3.1606}{2}}}

\frac{1}{e ^{\frac{- 3.1606}{2}}} = e^{\frac{3.1606}{2}}

= e^{\frac{3.1606}{2}} \frac{5}{2}

分数を乗じる:

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

= \frac{5 e ^{\frac{3.1606}{2}}}{2}

e^{\frac{3.1606}{2}} = 4.85641 \dots

= \frac{5 \cdot 4.85641 \dots}{2}

数を乗じる:

5 \cdot 4.85641 \dots = 24.28206 \dots

= \frac{24.28206 \dots}{2}

数を割る:

\frac{24.28206 \dots}{2} = 12.14103 \dots

= 12.14103 \dots