簡約 2000(1+(0.24)/4)^{-2}

解

簡約

2000 (1 + \frac{0.24}{4})^{- 2}

\frac{5000000}{2809}

十進法表記

1779.99288 \dots

解答ステップ

2000 (1 + \frac{0.24}{4})^{- 2}

指数の規則を適用する:

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

(1 + \frac{0.24}{4})^{- 2} = \frac{1}{( 1 + \frac{0.24}{4} ) ^{2}}

= 2000 \cdot \frac{1}{( 1 + \frac{0.24}{4} ) ^{2}}

(1 + \frac{0.24}{4})^{2} = \frac{2809}{2500}

= 2000 \cdot \frac{1}{\frac{2809}{2500}}

分数の規則を適用する:

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

= 2000 \cdot \frac{2500}{2809}

2000 \cdot \frac{2500}{2809} = \frac{5000000}{2809}

= \frac{5000000}{2809}