簡約 (0.01^2)/(0.06^2)

解

簡約

\frac{0.0 1 ^{2}}{0.0 6 ^{2}}

0.02777 \dots

解答ステップ

\frac{0.0 1 ^{2}}{0.0 6 ^{2}}

指数の規則を適用する:

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

\frac{0.0 1 ^{2}}{0.0 6 ^{2}} = (\frac{0.01}{0.06})^{2}

= (\frac{0.01}{0.06})^{2}

指数の規則を適用する:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{0.0 1 ^{2}}{0.0 6 ^{2}}

0.0 1^{2} = 0.0001

= \frac{0.0001}{0.0 6 ^{2}}

0.0 6^{2} = 0.0036

= \frac{0.0001}{0.0036}

数を割る:

\frac{0.0001}{0.0036} = 0.02777 \dots

= 0.02777 \dots