簡約 5000(1+(0.05)/(12))^{-36}

解

簡約

5000 (1 + \frac{0.05}{12})^{- 36}

\frac{5000 \cdot 24 0 ^{36}}{24 1 ^{36}}

十進法表記

4304.88122 \dots

解答ステップ

5000 (1 + \frac{0.05}{12})^{- 36}

指数の規則を適用する:

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

(1 + \frac{0.05}{12})^{- 36} = \frac{1}{( 1 + \frac{0.05}{12} ) ^{36}}

= 5000 \cdot \frac{1}{( 1 + \frac{0.05}{12} ) ^{36}}

(1 + \frac{0.05}{12})^{36} = \frac{24 1 ^{36}}{24 0 ^{36}}

= 5000 \cdot \frac{1}{\frac{24 1 ^{36}}{24 0 ^{36}}}

分数の規則を適用する:

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

= 5000 \cdot \frac{24 0 ^{36}}{24 1 ^{36}}

5000 \cdot \frac{24 0 ^{36}}{24 1 ^{36}} = \frac{5000 \cdot 24 0 ^{36}}{24 1 ^{36}}

= \frac{5000 \cdot 24 0 ^{36}}{24 1 ^{36}}