簡約 2143.6(1+0.1)^{-8}

解

簡約

2143.6 (1 + 0.1)^{- 8}

1000.00522 \dots

解答ステップ

2143.6 (1 + 0.1)^{- 8}

指数の規則を適用する:

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

= 2143.6 \cdot \frac{1}{( 1 + 0.1 ) ^{8}}

数を足す:

1 + 0.1 = 1.1

= 2143.6 \cdot \frac{1}{1. 1 ^{8}}

分数を乗じる:

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

= \frac{1 \cdot 2143.6}{1. 1 ^{8}}

数を乗じる:

1 \cdot 2143.6 = 2143.6

= \frac{2143.6}{1. 1 ^{8}}

1. 1^{8} = 2.14358881

= \frac{2143.6}{2.14358881}

数を割る:

\frac{2143.6}{2.14358881} = 1000.00522 \dots

= 1000.00522 \dots