簡約 (1+(0.11)/(12))^{12}-1

解

簡約

(1 + \frac{0.11}{12})^{12} - 1

\frac{121 1 ^{12}}{120 0 ^{12}} - 1

十進法表記

0.11571 \dots

解答ステップ

(1 + \frac{0.11}{12})^{12} - 1

簡素化

1 + \frac{0.11}{12} : \frac{1211}{1200}

= (\frac{1211}{1200})^{12} - 1

指数の規則を適用する:

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

(\frac{1211}{1200})^{12} = \frac{121 1 ^{12}}{120 0 ^{12}}

= \frac{121 1 ^{12}}{120 0 ^{12}} - 1