簡約 (4.34^2)/(5.19^2)

解

簡約

\frac{4.3 4 ^{2}}{5.1 9 ^{2}}

0.69926 \dots

解答ステップ

\frac{4.3 4 ^{2}}{5.1 9 ^{2}}

指数の規則を適用する:

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

\frac{4.3 4 ^{2}}{5.1 9 ^{2}} = (\frac{4.34}{5.19})^{2}

= (\frac{4.34}{5.19})^{2}

指数の規則を適用する:

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

= \frac{4.3 4 ^{2}}{5.1 9 ^{2}}

4.3 4^{2} = 18.8356

= \frac{18.8356}{5.1 9 ^{2}}

5.1 9^{2} = 26.9361

= \frac{18.8356}{26.9361}

数を割る:

\frac{18.8356}{26.9361} = 0.69926 \dots

= 0.69926 \dots