簡約 (159043^2)/(322^2)

解

簡約

\frac{15904 3 ^{2}}{32 2 ^{2}}

\frac{15904 3 ^{2}}{103684}

十進法表記

243959.29795 \dots

解答ステップ

\frac{15904 3 ^{2}}{32 2 ^{2}}

指数の規則を適用する:

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

\frac{15904 3 ^{2}}{32 2 ^{2}} = (\frac{159043}{322})^{2}

= (\frac{159043}{322})^{2}

指数の規則を適用する:

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

= \frac{15904 3 ^{2}}{32 2 ^{2}}

32 2^{2} = 103684

= \frac{15904 3 ^{2}}{103684}