簡約 (1.74^2)/(2.53^2)

解

簡約

\frac{1.7 4 ^{2}}{2.5 3 ^{2}}

0.47299 \dots

解答ステップ

\frac{1.7 4 ^{2}}{2.5 3 ^{2}}

指数の規則を適用する:

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

\frac{1.7 4 ^{2}}{2.5 3 ^{2}} = (\frac{1.74}{2.53})^{2}

= (\frac{1.74}{2.53})^{2}

指数の規則を適用する:

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

= \frac{1.7 4 ^{2}}{2.5 3 ^{2}}

1.7 4^{2} = 3.0276

= \frac{3.0276}{2.5 3 ^{2}}

2.5 3^{2} = 6.4009

= \frac{3.0276}{6.4009}

数を割る:

\frac{3.0276}{6.4009} = 0.47299 \dots

= 0.47299 \dots