簡約 (6.6710^{-11})(2^2)/(0.86^2)

解

簡約

(6.67 \cdot 1 0^{- 11}) \cdot \frac{2 ^{2}}{0.8 6 ^{2}}

3.60736 E - 10

解答ステップ

(6.67 \cdot 1 0^{- 11}) \frac{2 ^{2}}{0.8 6 ^{2}}

指数の規則を適用する:

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

= 6.67 \cdot \frac{1}{1 0 ^{11}} \cdot \frac{2 ^{2}}{0.8 6 ^{2}}

指数の規則を適用する:

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

\frac{2 ^{2}}{0.8 6 ^{2}} = (\frac{2}{0.86})^{2}

= 6.67 (\frac{2}{0.86})^{2} \frac{1}{1 0 ^{11}}

(\frac{2}{0.86})^{2} = \frac{2 ^{2}}{0.8 6 ^{2}}

= 6.67 \cdot \frac{1}{1 0 ^{11}} \cdot \frac{2 ^{2}}{0.8 6 ^{2}}

分数を乗じる:

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

= 6.67 \cdot \frac{2 ^{2} \cdot 1}{1 0 ^{11} \cdot 0.8 6 ^{2}}

\frac{1 \cdot 2 ^{2}}{1 0 ^{11} \cdot 0.8 6 ^{2}} = 5.40833 E - 11

= 5.40833 E - 11 \cdot 6.67

数を乗じる:

6.67 \cdot 5.40833 E - 11 = 3.60736 E - 10

= 3.60736 E - 10