簡約 2pi(5)(2.2*10^{-9})

解

簡約

2 π (5) (2.2 \cdot 1 0^{- 9})

6.9115 E - 8

解答ステップ

2 π (5) (2.2 \cdot 1 0^{- 9})

指数の規則を適用する:

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

= 2 \cdot 5 \cdot 2.2 π \frac{1}{1 0 ^{9}}

分数を乗じる:

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

= 2.2 \cdot \frac{1 \cdot 2 \cdot 5 π}{1 0 ^{9}}

\frac{1 \cdot 2 π 5}{1 0 ^{9}} = \frac{π}{100000000}

= 2.2 \cdot \frac{π}{100000000}

分数を乗じる:

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

= \frac{π 2.2}{100000000}

数を乗じる:

3.14159 \dots \cdot 2.2 = 6.91150 \dots

= \frac{6.91150 \dots}{100000000}

数を割る:

\frac{6.91150 \dots}{100000000} = 6.9115 E - 8

= 6.9115 E - 8