簡約 12e^{-1/(0.8)}

解

簡約

12 e^{- \frac{1}{0.8}}

3.43805 \dots

解答ステップ

12 e^{- \frac{1}{0.8}}

指数の規則を適用する:

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

= 12 \cdot \frac{1}{e ^{\frac{1}{0.8}}}

分数を乗じる:

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

= \frac{1 \cdot 12}{e ^{\frac{1}{0.8}}}

数を乗じる:

1 \cdot 12 = 12

= \frac{12}{e ^{\frac{1}{0.8}}}

e^{\frac{1}{0.8}} = 3.49034 \dots

= \frac{12}{3.49034 \dots}

数を割る:

\frac{12}{3.49034 \dots} = 3.43805 \dots

= 3.43805 \dots