簡約 (16.503^2)/(23.688^2)

解

簡約

\frac{16.50 3 ^{2}}{23.68 8 ^{2}}

0.48536 \dots

解答ステップ

\frac{16.50 3 ^{2}}{23.68 8 ^{2}}

指数の規則を適用する:

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

\frac{16.50 3 ^{2}}{23.68 8 ^{2}} = (\frac{16.503}{23.688})^{2}

= (\frac{16.503}{23.688})^{2}

指数の規則を適用する:

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

= \frac{16.50 3 ^{2}}{23.68 8 ^{2}}

16.50 3^{2} = 272.349009

= \frac{272.349009}{23.68 8 ^{2}}

23.68 8^{2} = 561.121344

= \frac{272.349009}{561.121344}

数を割る:

\frac{272.349009}{561.121344} = 0.48536 \dots

= 0.48536 \dots