簡約 210^{-7}1000*ln((5.5)/(0.009423))

解

簡約

2 \cdot 1 0^{- 7} \cdot 1000 \cdot ln (\frac{5.5}{0.009423})

0.00127 \dots

解答ステップ

2 \cdot 1 0^{- 7} \cdot 1000 ln (\frac{5.5}{0.009423})

指数の規則を適用する:

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

= 2 \cdot 1000 \cdot \frac{1}{1 0 ^{7}} ln (\frac{5.5}{0.009423})

分数を乗じる:

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

= \frac{1 \cdot 2 \cdot 1000}{1 0 ^{7}} ln (\frac{5.5}{0.009423})

\frac{1 \cdot 2 \cdot 1000}{1 0 ^{7}} = \frac{1}{5000}

= \frac{1}{5000} ln (\frac{5.5}{0.009423})

数を割る:

\frac{5.5}{0.009423} = 583.67823 \dots

= \frac{1}{5000} ln (583.67823 \dots)

簡素化

ln (583.67823 \dots) : 6.36934 \dots

= 6.36934 \dots \cdot \frac{1}{5000}

簡素化

= 0.00127 \dots