簡約 2*10^{-7}((10)/(0.07)+(20)/(0.02))

解

簡約

2 \cdot 1 0^{- 7} (\frac{10}{0.07} + \frac{20}{0.02})

0.00022 \dots

解答ステップ

2 \cdot 1 0^{- 7} (\frac{10}{0.07} + \frac{20}{0.02})

指数の規則を適用する:

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

= 2 \cdot \frac{1}{1 0 ^{7}} (\frac{10}{0.07} + \frac{20}{0.02})

結合

\frac{10}{0.07} + \frac{20}{0.02} : 1142.85714 \dots

= 2 \cdot 1142.85714 \dots \cdot \frac{1}{1 0 ^{7}}

分数を乗じる:

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

= 1142.85714 \dots \cdot \frac{1 \cdot 2}{1 0 ^{7}}

\frac{1 \cdot 2}{1 0 ^{7}} = \frac{1}{5000000}

= 1142.85714 \dots \cdot \frac{1}{5000000}

分数を乗じる:

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

= \frac{1 \cdot 1142.85714 \dots}{5000000}

数を乗じる:

1 \cdot 1142.85714 \dots = 1142.85714 \dots

= \frac{1142.85714 \dots}{5000000}

数を割る:

\frac{1142.85714 \dots}{5000000} = 0.00022 \dots

= 0.00022 \dots