簡約 4e^{-0.065*5/12}

解

簡約

4 e^{- 0.065 \cdot \frac{5}{12}}

3.89312 \dots

解答ステップ

4 e^{- 0.065 \cdot \frac{5}{12}}

指数の規則を適用する:

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

= 4 \cdot \frac{1}{e ^{0.065 \cdot \frac{5}{12}}}

\frac{1}{e ^{0.065 \cdot \frac{5}{12}}} = \frac{1}{e ^{0.02708 \dots}}

= 4 \cdot \frac{1}{e ^{0.02708 \dots}}

分数を乗じる:

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

= \frac{1 \cdot 4}{e ^{0.02708 \dots}}

数を乗じる:

1 \cdot 4 = 4

= \frac{4}{e ^{0.02708 \dots}}

e^{0.02708 \dots} = 1.02745 \dots

= \frac{4}{1.02745 \dots}

数を割る:

\frac{4}{1.02745 \dots} = 3.89312 \dots

= 3.89312 \dots