簡約 22(1.9)^2e^{-7.8(1.9)}

解

簡約

22 (1.9)^{2} e^{- 7.8 (1.9)}

0.00002 \dots

解答ステップ

22 (1.9)^{2} e^{- 7.8 (1.9)}

指数の規則を適用する:

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

= 22 \cdot 1. 9^{2} \cdot \frac{1}{e ^{1.9 \cdot 7.8}}

数を乗じる:

7.8 \cdot 1.9 = 14.82

= 22 \cdot 1. 9^{2} \cdot \frac{1}{e ^{14.82}}

分数を乗じる:

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

= \frac{1 \cdot 22 \cdot 1. 9 ^{2}}{e ^{14.82}}

数を乗じる:

1 \cdot 22 = 22

= \frac{22 \cdot 1. 9 ^{2}}{e ^{14.82}}

22 \cdot 1. 9^{2} = 79.42

= \frac{79.42}{e ^{14.82}}

e^{14.82} = 2730512.83181 \dots

= \frac{79.42}{2730512.83181 \dots}

数を割る:

\frac{79.42}{2730512.83181 \dots} = 0.00002 \dots

= 0.00002 \dots