簡約 1301(1+(0.06)/(12))^{-12}

解

簡約

1301 (1 + \frac{0.06}{12})^{- 12}

\frac{1301 \cdot 20 0 ^{12}}{20 1 ^{12}}

十進法表記

1225.41884 \dots

解答ステップ

1301 (1 + \frac{0.06}{12})^{- 12}

指数の規則を適用する:

a^{- b} = \frac{1}{a ^{b}}

(1 + \frac{0.06}{12})^{- 12} = \frac{1}{( 1 + \frac{0.06}{12} ) ^{12}}

= 1301 \cdot \frac{1}{( 1 + \frac{0.06}{12} ) ^{12}}

(1 + \frac{0.06}{12})^{12} = \frac{20 1 ^{12}}{20 0 ^{12}}

= 1301 \cdot \frac{1}{\frac{20 1 ^{12}}{20 0 ^{12}}}

分数の規則を適用する:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= 1301 \cdot \frac{20 0 ^{12}}{20 1 ^{12}}

1301 \cdot \frac{20 0 ^{12}}{20 1 ^{12}} = \frac{1301 \cdot 20 0 ^{12}}{20 1 ^{12}}

= \frac{1301 \cdot 20 0 ^{12}}{20 1 ^{12}}