簡約 2718e^{-0.41(20)}

解

簡約

2718 e^{- 0.41 (20)}

0.74650 \dots

解答ステップ

2718 e^{- 0.41 (20)}

指数の規則を適用する:

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

= 2718 \cdot \frac{1}{e ^{20 \cdot 0.41}}

数を乗じる:

0.41 \cdot 20 = 8.2

= 2718 \cdot \frac{1}{e ^{8.2}}

分数を乗じる:

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

= \frac{1 \cdot 2718}{e ^{8.2}}

数を乗じる:

1 \cdot 2718 = 2718

= \frac{2718}{e ^{8.2}}

e^{8.2} = 3640.95030 \dots

= \frac{2718}{3640.95030 \dots}

数を割る:

\frac{2718}{3640.95030 \dots} = 0.74650 \dots

= 0.74650 \dots