簡約 1.6e^{-(0.15)/(0.25)}

解

簡約

1.6 e^{- \frac{0.15}{0.25}}

0.87809 \dots

解答ステップ

1.6 e^{- \frac{0.15}{0.25}}

指数の規則を適用する:

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

= 1.6 \cdot \frac{1}{e ^{\frac{0.15}{0.25}}}

分数を乗じる:

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

= \frac{1 \cdot 1.6}{e ^{\frac{0.15}{0.25}}}

数を乗じる:

1 \cdot 1.6 = 1.6

= \frac{1.6}{e ^{\frac{0.15}{0.25}}}

e^{\frac{0.15}{0.25}} = 1.82211 \dots

= \frac{1.6}{1.82211 \dots}

数を割る:

\frac{1.6}{1.82211 \dots} = 0.87809 \dots

= 0.87809 \dots