簡約 pi(5.9675*10^{-5}m^2)

解

簡約

π (5.9675 \cdot 1 0^{- 5} m^{2})

0.00018 \dots m^{2}

解答ステップ

π (5.9675 \cdot 1 0^{- 5} m^{2})

指数の規則を適用する:

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

= 5.9675 π \frac{1}{1 0 ^{5}} m^{2}

分数を乗じる:

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

= 5.9675 \cdot \frac{1 π m ^{2}}{1 0 ^{5}}

簡素化

\frac{1 π m ^{2}}{1 0 ^{5}} : \frac{π m ^{2}}{100000}

= 5.9675 \cdot \frac{π m ^{2}}{100000}

分数を乗じる:

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

= \frac{π m ^{2} \cdot 5.9675}{100000}

数を乗じる:

3.14159 \dots \cdot 5.9675 = 18.74745 \dots

= \frac{18.74745 \dots m ^{2}}{100000}

数を割る:

\frac{18.74745 \dots}{100000} = 0.00018 \dots

= 0.00018 \dots m^{2}