簡約 (984.5+379.1)(2-5.5)^{-2}

解

簡約

(984.5 + 379.1) (2 - 5.5)^{- 2}

111.31428 \dots

解答ステップ

(984.5 + 379.1) (2 - 5.5)^{- 2}

指数の規則を適用する:

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

= \frac{1}{( 2 - 5.5 ) ^{2}} (379.1 + 984.5)

数を足す:

984.5 + 379.1 = 1363.6

= 1363.6 \cdot \frac{1}{( 2 - 5.5 ) ^{2}}

\frac{1}{( 2 - 5.5 ) ^{2}} = \frac{1}{3. 5 ^{2}}

= 1363.6 \cdot \frac{1}{3. 5 ^{2}}

分数を乗じる:

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

= \frac{1 \cdot 1363.6}{3. 5 ^{2}}

数を乗じる:

1 \cdot 1363.6 = 1363.6

= \frac{1363.6}{3. 5 ^{2}}

3. 5^{2} = 12.25

= \frac{1363.6}{12.25}

数を割る:

\frac{1363.6}{12.25} = 111.31428 \dots

= 111.31428 \dots