簡約 ((12682.3)/(9521))^{1/4}-1

解

簡約

(\frac{12682.3}{9521})^{\frac{1}{4}} - 1

(\frac{126823}{95210})^{\frac{1}{4}} - 1

十進法表記

0.07430 \dots

解答ステップ

(\frac{12682.3}{9521})^{\frac{1}{4}} - 1

指数の規則を適用する:

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

(\frac{12682.3}{9521})^{\frac{1}{4}} = \frac{12682. 3 ^{\frac{1}{4}}}{952 1 ^{\frac{1}{4}}}

= \frac{12682. 3 ^{\frac{1}{4}}}{952 1 ^{\frac{1}{4}}} - 1

12682.3 = \frac{126823}{10}

= \frac{( \frac{126823}{10} ) ^{\frac{1}{4}}}{952 1 ^{\frac{1}{4}}} - 1

\frac{( \frac{126823}{10} ) ^{\frac{1}{4}}}{952 1 ^{\frac{1}{4}}} = (\frac{126823}{95210})^{\frac{1}{4}}

= (\frac{126823}{95210})^{\frac{1}{4}} - 1