簡約 55000(1+(0.32)/(52))^{-208}

解

簡約

55000 (1 + \frac{0.32}{52})^{- 208}

15352.15051 \dots

解答ステップ

55000 (1 + \frac{0.32}{52})^{- 208}

指数の規則を適用する:

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

= 55000 \cdot \frac{1}{( \frac{0.32}{52} + 1 ) ^{208}}

(1 + \frac{0.32}{52})^{208} = 1.00615 \dots^{208}

= 55000 \cdot \frac{1}{1.00615 \dots ^{208}}

分数を乗じる:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 55000}{1.00615 \dots ^{208}}

数を乗じる:

1 \cdot 55000 = 55000

= \frac{55000}{1.00615 \dots ^{208}}

1.00615 \dots^{208} = 3.58255 \dots

= \frac{55000}{3.58255 \dots}

数を割る:

\frac{55000}{3.58255 \dots} = 15352.15051 \dots

= 15352.15051 \dots