簡約 3583e^{(-e^{(-0.02(50-66))})}

解

簡約

3583 e^{(- e^{(- 0.02 (50 - 66))})}

903.99872 \dots

解答ステップ

3583 e^{(- e^{(- 0.02 (50 - 66))})}

指数の規則を適用する:

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

= 3583 \cdot \frac{1}{e ^{e^{- 0.02 (50 - 66)}}}

e^{- 0.02 (50 - 66)} = e^{0.32}

= 3583 \cdot \frac{1}{e ^{e^{0.32}}}

分数を乗じる:

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

= \frac{1 \cdot 3583}{e ^{e^{0.32}}}

数を乗じる:

1 \cdot 3583 = 3583

= \frac{3583}{e ^{e^{0.32}}}

e^{e^{0.32}} = 3.96350 \dots

= \frac{3583}{3.96350 \dots}

数を割る:

\frac{3583}{3.96350 \dots} = 903.99872 \dots

= 903.99872 \dots