簡約 0.8e^{-0.12*1/12}

解

簡約

0.8 e^{- 0.12 \cdot \frac{1}{12}}

0.79203 \dots

解答ステップ

0.8 e^{- 0.12 \cdot \frac{1}{12}}

指数の規則を適用する:

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

= 0.8 \cdot \frac{1}{e ^{0.12 \cdot \frac{1}{12}}}

\frac{1}{e ^{0.12 \cdot \frac{1}{12}}} = \frac{1}{e ^{0.01}}

= 0.8 \cdot \frac{1}{e ^{0.01}}

分数を乗じる:

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

= \frac{1 \cdot 0.8}{e ^{0.01}}

数を乗じる:

1 \cdot 0.8 = 0.8

= \frac{0.8}{e ^{0.01}}

e^{0.01} = 1.01005 \dots

= \frac{0.8}{1.01005 \dots}

数を割る:

\frac{0.8}{1.01005 \dots} = 0.79203 \dots

= 0.79203 \dots