簡約 22525.5(1+0.1)^{-5}

解

簡約

22525.5 (1 + 0.1)^{- 5}

13986.56326 \dots

解答ステップ

22525.5 (1 + 0.1)^{- 5}

指数の規則を適用する:

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

= 22525.5 \cdot \frac{1}{( 1 + 0.1 ) ^{5}}

数を足す:

1 + 0.1 = 1.1

= 22525.5 \cdot \frac{1}{1. 1 ^{5}}

分数を乗じる:

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

= \frac{1 \cdot 22525.5}{1. 1 ^{5}}

数を乗じる:

1 \cdot 22525.5 = 22525.5

= \frac{22525.5}{1. 1 ^{5}}

1. 1^{5} = 1.61051

= \frac{22525.5}{1.61051}

数を割る:

\frac{22525.5}{1.61051} = 13986.56326 \dots

= 13986.56326 \dots