簡約 ((sqrt(0.9))/(20/2))(0.1)^{-2}

解

簡約

(\frac{0.9}{\frac{20}{2}}) (0.1)^{- 2}

9.48683 \dots

解答ステップ

(\frac{0.9}{\frac{20}{2}}) (0.1)^{- 2}

指数の規則を適用する:

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

= \frac{1}{0. 1 ^{2}} \cdot \frac{0.9}{\frac{20}{2}}

\frac{0.9}{\frac{20}{2}} = \frac{0.9}{10}

= \frac{1}{0. 1 ^{2}} \cdot \frac{0.9}{10}

分数を乗じる:

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

= \frac{0.9 \cdot 1}{10 \cdot 0. 1 ^{2}}

乗算:

0.9 \cdot 1 = 0.9

= \frac{0.9}{10 \cdot 0. 1 ^{2}}

10 \cdot 0. 1^{2} = 0.1

= \frac{0.9}{0.1}

0.9 = 0.94868 \dots

= \frac{0.94868 \dots}{0.1}

数を割る:

\frac{0.94868 \dots}{0.1} = 9.48683 \dots

= 9.48683 \dots