簡約 6500(1+(0.028)/(12))^{12*2}

解

簡約

6500 (1 + \frac{0.028}{12})^{12 \cdot 2}

\frac{13 \cdot 300 7 ^{24}}{2 ^{70} \cdot 3 ^{24} \cdot 12 5 ^{23}}

十進法表記

6873.93652 \dots

解答ステップ

6500 (1 + \frac{0.028}{12})^{12 \cdot 2}

数を乗じる:

12 \cdot 2 = 24

= 6500 (1 + \frac{0.028}{12})^{24}

簡素化

1 + \frac{0.028}{12} : \frac{3007}{3000}

= 6500 (\frac{3007}{3000})^{24}

指数の規則を適用する:

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

(\frac{3007}{3000})^{24} = \frac{300 7 ^{24}}{300 0 ^{24}}

= 6500 \cdot \frac{300 7 ^{24}}{300 0 ^{24}}

6500 \cdot \frac{300 7 ^{24}}{300 0 ^{24}} = \frac{13 \cdot 300 7 ^{24}}{2 ^{70} \cdot 3 ^{24} \cdot 12 5 ^{23}}

= \frac{13 \cdot 300 7 ^{24}}{2 ^{70} \cdot 3 ^{24} \cdot 12 5 ^{23}}