簡約 3450.5(1+(0.03)/(12))^{-6}

解

簡約

3450.5 (1 + \frac{0.03}{12})^{- 6}

\frac{3450.5 \cdot 40 0 ^{6}}{40 1 ^{6}}

十進法表記

3399.19237 \dots

解答ステップ

3450.5 (1 + \frac{0.03}{12})^{- 6}

指数の規則を適用する:

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

(1 + \frac{0.03}{12})^{- 6} = \frac{1}{( 1 + \frac{0.03}{12} ) ^{6}}

= 3450.5 \cdot \frac{1}{( 1 + \frac{0.03}{12} ) ^{6}}

(1 + \frac{0.03}{12})^{6} = \frac{40 1 ^{6}}{40 0 ^{6}}

= 3450.5 \cdot \frac{1}{\frac{40 1 ^{6}}{40 0 ^{6}}}

分数の規則を適用する:

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

= 3450.5 \cdot \frac{40 0 ^{6}}{40 1 ^{6}}

3450.5 \cdot \frac{40 0 ^{6}}{40 1 ^{6}} = \frac{3450.5 \cdot 40 0 ^{6}}{40 1 ^{6}}

= \frac{3450.5 \cdot 40 0 ^{6}}{40 1 ^{6}}