簡約 4pi(8.85*10^{-12})(0.1)

解

簡約

4 π (8.85 \cdot 1 0^{- 12}) (0.1)

1.11212 E - 11

解答ステップ

4 π (8.85 \cdot 1 0^{- 12}) (0.1)

指数の規則を適用する:

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

= 4 \cdot 0.1 \cdot 8.85 π \frac{1}{1 0 ^{12}}

分数を乗じる:

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

= 0.1 \cdot 8.85 \cdot \frac{1 \cdot 4 π}{1 0 ^{12}}

\frac{1 \cdot 4 π}{1 0 ^{12}} = \frac{π}{250000000000}

= 0.1 \cdot 8.85 \cdot \frac{π}{250000000000}

数を乗じる:

8.85 \cdot 0.1 = 0.885

= 0.885 \cdot \frac{π}{250000000000}

分数を乗じる:

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

= \frac{π 0.885}{250000000000}

数を乗じる:

3.14159 \dots \cdot 0.885 = 2.78030 \dots

= \frac{2.78030 \dots}{250000000000}

数を割る:

\frac{2.78030 \dots}{250000000000} = 1.11212 E - 11

= 1.11212 E - 11