簡約 (834.2+80.6)(2-3.5)^{-2}

解

簡約

(834.2 + 80.6) (2 - 3.5)^{- 2}

406.57777 \dots

解答ステップ

(834.2 + 80.6) (2 - 3.5)^{- 2}

指数の規則を適用する:

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

= \frac{1}{( 2 - 3.5 ) ^{2}} (80.6 + 834.2)

数を足す:

834.2 + 80.6 = 914.8

= 914.8 \cdot \frac{1}{( 2 - 3.5 ) ^{2}}

\frac{1}{( 2 - 3.5 ) ^{2}} = \frac{1}{1. 5 ^{2}}

= 914.8 \cdot \frac{1}{1. 5 ^{2}}

分数を乗じる:

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

= \frac{1 \cdot 914.8}{1. 5 ^{2}}

数を乗じる:

1 \cdot 914.8 = 914.8

= \frac{914.8}{1. 5 ^{2}}

1. 5^{2} = 2.25

= \frac{914.8}{2.25}

数を割る:

\frac{914.8}{2.25} = 406.57777 \dots

= 406.57777 \dots