簡約 45*e^{(-(0.02)/(12.5))}

解

簡約

45 \cdot e^{(- \frac{0.02}{12.5})}

44.92805 \dots

解答ステップ

45 e^{(- \frac{0.02}{12.5})}

指数の規則を適用する:

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

= 45 \cdot \frac{1}{e ^{\frac{0.02}{12.5}}}

分数を乗じる:

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

= \frac{1 \cdot 45}{e ^{\frac{0.02}{12.5}}}

数を乗じる:

1 \cdot 45 = 45

= \frac{45}{e ^{\frac{0.02}{12.5}}}

e^{\frac{0.02}{12.5}} = 1.00160 \dots

= \frac{45}{1.00160 \dots}

数を割る:

\frac{45}{1.00160 \dots} = 44.92805 \dots

= 44.92805 \dots