簡約 (0.3^2)/(2.17^2)

解

簡約

\frac{0. 3 ^{2}}{2.1 7 ^{2}}

0.01911 \dots

解答ステップ

\frac{0. 3 ^{2}}{2.1 7 ^{2}}

指数の規則を適用する:

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

\frac{0. 3 ^{2}}{2.1 7 ^{2}} = (\frac{0.3}{2.17})^{2}

= (\frac{0.3}{2.17})^{2}

指数の規則を適用する:

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

= \frac{0. 3 ^{2}}{2.1 7 ^{2}}

0. 3^{2} = 0.09

= \frac{0.09}{2.1 7 ^{2}}

2.1 7^{2} = 4.7089

= \frac{0.09}{4.7089}

数を割る:

\frac{0.09}{4.7089} = 0.01911 \dots

= 0.01911 \dots