簡約 (0.08^2)/(0.075^2)

解

簡約

\frac{0.0 8 ^{2}}{0.07 5 ^{2}}

1.13777 \dots

解答ステップ

\frac{0.0 8 ^{2}}{0.07 5 ^{2}}

指数の規則を適用する:

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

\frac{0.0 8 ^{2}}{0.07 5 ^{2}} = (\frac{0.08}{0.075})^{2}

= (\frac{0.08}{0.075})^{2}

指数の規則を適用する:

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

= \frac{0.0 8 ^{2}}{0.07 5 ^{2}}

0.0 8^{2} = 0.0064

= \frac{0.0064}{0.07 5 ^{2}}

0.07 5^{2} = 0.005625

= \frac{0.0064}{0.005625}

数を割る:

\frac{0.0064}{0.005625} = 1.13777 \dots

= 1.13777 \dots