簡約 17.92e^{(-1.3(1000)/(0.2))}

解

簡約

17.92 \cdot e^{(- 1.3 \cdot \frac{1000}{0.2})}

\frac{17.92}{e ^{6500}}

解答ステップ

17.92 e^{(- 1.3 \cdot \frac{1000}{0.2})}

指数の規則を適用する:

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

= 17.92 \cdot \frac{1}{e ^{1.3 \cdot \frac{1000}{0.2}}}

\frac{1}{e ^{1.3 \cdot \frac{1000}{0.2}}} = \frac{1}{e ^{6500}}

= 17.92 \cdot \frac{1}{e ^{6500}}

分数を乗じる:

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

= \frac{1 \cdot 17.92}{e ^{6500}}

数を乗じる:

1 \cdot 17.92 = 17.92

= \frac{17.92}{e ^{6500}}