簡約 1.35(2.802)e^{-2.802(2.802)}

解

簡約

1.35 (2.802) e^{- 2.802 (2.802)}

0.00147 \dots

解答ステップ

1.35 (2.802) e^{- 2.802 (2.802)}

指数の規則を適用する:

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

= 1.35 \cdot 2.802 \cdot \frac{1}{e ^{2.802 \cdot 2.802}}

数を乗じる:

2.802 \cdot 2.802 = 7.851204

= 1.35 \cdot 2.802 \cdot \frac{1}{e ^{7.851204}}

数を乗じる:

1.35 \cdot 2.802 = 3.7827

= 3.7827 \cdot \frac{1}{e ^{7.851204}}

分数を乗じる:

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

= \frac{1 \cdot 3.7827}{e ^{7.851204}}

数を乗じる:

1 \cdot 3.7827 = 3.7827

= \frac{3.7827}{e ^{7.851204}}

e^{7.851204} = 2568.82532 \dots

= \frac{3.7827}{2568.82532 \dots}

数を割る:

\frac{3.7827}{2568.82532 \dots} = 0.00147 \dots

= 0.00147 \dots