簡約 50000(1+(0.08)/4)^{-12}

解

簡約

50000 (1 + \frac{0.08}{4})^{- 12}

\frac{50000 \cdot 5 0 ^{12}}{5 1 ^{12}}

十進法表記

39424.65877 \dots

解答ステップ

50000 (1 + \frac{0.08}{4})^{- 12}

指数の規則を適用する:

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

(1 + \frac{0.08}{4})^{- 12} = \frac{1}{( 1 + \frac{0.08}{4} ) ^{12}}

= 50000 \cdot \frac{1}{( 1 + \frac{0.08}{4} ) ^{12}}

(1 + \frac{0.08}{4})^{12} = \frac{5 1 ^{12}}{5 0 ^{12}}

= 50000 \cdot \frac{1}{\frac{5 1 ^{12}}{5 0 ^{12}}}

分数の規則を適用する:

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

= 50000 \cdot \frac{5 0 ^{12}}{5 1 ^{12}}

50000 \cdot \frac{5 0 ^{12}}{5 1 ^{12}} = \frac{50000 \cdot 5 0 ^{12}}{5 1 ^{12}}

= \frac{50000 \cdot 5 0 ^{12}}{5 1 ^{12}}