簡約 (1.4814^2)/(2.6367^2)

解

簡約

\frac{1.481 4 ^{2}}{2.636 7 ^{2}}

0.31566 \dots

解答ステップ

\frac{1.481 4 ^{2}}{2.636 7 ^{2}}

指数の規則を適用する:

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

\frac{1.481 4 ^{2}}{2.636 7 ^{2}} = (\frac{1.4814}{2.6367})^{2}

= (\frac{1.4814}{2.6367})^{2}

指数の規則を適用する:

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

= \frac{1.481 4 ^{2}}{2.636 7 ^{2}}

1.481 4^{2} = 2.19454596

= \frac{2.19454596}{2.636 7 ^{2}}

2.636 7^{2} = 6.95218689

= \frac{2.19454596}{6.95218689}

数を割る:

\frac{2.19454596}{6.95218689} = 0.31566 \dots

= 0.31566 \dots