簡約 8*(0.77)^2(1-0.77)^{-2}

解

簡約

8 \cdot (0.77)^{2} (1 - 0.77)^{- 2}

89.66351 \dots

解答ステップ

8 (0.77)^{2} (1 - 0.77)^{- 2}

指数の規則を適用する:

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

= 8 \cdot 0.7 7^{2} \cdot \frac{1}{( 1 - 0.77 ) ^{2}}

数を引く:

1 - 0.77 = 0.23

= 8 \cdot 0.7 7^{2} \cdot \frac{1}{0.2 3 ^{2}}

分数を乗じる:

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

= \frac{1 \cdot 8 \cdot 0.7 7 ^{2}}{0.2 3 ^{2}}

数を乗じる:

1 \cdot 8 = 8

= \frac{8 \cdot 0.7 7 ^{2}}{0.2 3 ^{2}}

8 \cdot 0.7 7^{2} = 4.7432

= \frac{4.7432}{0.2 3 ^{2}}

0.2 3^{2} = 0.0529

= \frac{4.7432}{0.0529}

数を割る:

\frac{4.7432}{0.0529} = 89.66351 \dots

= 89.66351 \dots