簡約 (1/18)^6(17/18)^6

解

簡約

(\frac{1}{18})^{6} (\frac{17}{18})^{6}

\frac{24137569}{1.15683 E 15}

十進法表記

2.08652 E - 8

解答ステップ

(\frac{1}{18})^{6} (\frac{17}{18})^{6}

(\frac{1}{18})^{6} = \frac{1}{34012224}

= \frac{1}{34012224} (\frac{17}{18})^{6}

指数の規則を適用する:

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

(\frac{17}{18})^{6} = \frac{1 7 ^{6}}{1 8 ^{6}}

= \frac{1}{34012224} \cdot \frac{1 7 ^{6}}{1 8 ^{6}}

\frac{1 7 ^{6}}{1 8 ^{6}} = \frac{24137569}{34012224}

= \frac{1}{34012224} \cdot \frac{24137569}{34012224}

\frac{1}{34012224} \cdot \frac{24137569}{34012224} = \frac{24137569}{1.15683 E 15}

= \frac{24137569}{1.15683 E 15}