簡約 3000(1+(0.05)/4)^{-4}

解

簡約

3000 (1 + \frac{0.05}{4})^{- 4}

\frac{40960000000}{14348907}

十進法表記

2854.57282 \dots

解答ステップ

3000 (1 + \frac{0.05}{4})^{- 4}

指数の規則を適用する:

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

(1 + \frac{0.05}{4})^{- 4} = \frac{1}{( 1 + \frac{0.05}{4} ) ^{4}}

= 3000 \cdot \frac{1}{( 1 + \frac{0.05}{4} ) ^{4}}

(1 + \frac{0.05}{4})^{4} = \frac{43046721}{40960000}

= 3000 \cdot \frac{1}{\frac{43046721}{40960000}}

分数の規則を適用する:

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

= 3000 \cdot \frac{40960000}{43046721}

3000 \cdot \frac{40960000}{43046721} = \frac{40960000000}{14348907}

= \frac{40960000000}{14348907}