簡約 (45-44.21)e^{(-0.1*0.5)}

解

簡約

(45 - 44.21) e^{(- 0.1 \cdot 0.5)}

0.75147 \dots

解答ステップ

(45 - 44.21) e^{(- 0.1 \cdot 0.5)}

指数の規則を適用する:

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

= \frac{1}{e ^{0.1 \cdot 0.5}} (45 - 44.21)

数を引く:

45 - 44.21 = 0.79

= 0.79 \cdot \frac{1}{e ^{0.1 \cdot 0.5}}

数を乗じる:

0.1 \cdot 0.5 = 0.05

= 0.79 \cdot \frac{1}{e ^{0.05}}

分数を乗じる:

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

= \frac{1 \cdot 0.79}{e ^{0.05}}

数を乗じる:

1 \cdot 0.79 = 0.79

= \frac{0.79}{e ^{0.05}}

e^{0.05} = 1.05127 \dots

= \frac{0.79}{1.05127 \dots}

数を割る:

\frac{0.79}{1.05127 \dots} = 0.75147 \dots

= 0.75147 \dots