簡約 2200(1+(0.03)/(12))^{72}

解

簡約

2200 (1 + \frac{0.03}{12})^{72}

\frac{11 \cdot 40 1 ^{72}}{2 ^{285} \cdot 2 5 ^{71}}

十進法表記

2633.28662 \dots

解答ステップ

2200 (1 + \frac{0.03}{12})^{72}

簡素化

1 + \frac{0.03}{12} : \frac{401}{400}

= 2200 (\frac{401}{400})^{72}

指数の規則を適用する:

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

(\frac{401}{400})^{72} = \frac{40 1 ^{72}}{40 0 ^{72}}

= 2200 \cdot \frac{40 1 ^{72}}{40 0 ^{72}}

2200 \cdot \frac{40 1 ^{72}}{40 0 ^{72}} = \frac{11 \cdot 40 1 ^{72}}{2 ^{285} \cdot 2 5 ^{71}}

= \frac{11 \cdot 40 1 ^{72}}{2 ^{285} \cdot 2 5 ^{71}}