簡約 pi(90^2)(10^{-6})(29.17)

解

簡約

π (9 0^{2}) (1 0^{- 6}) (29.17)

0.74228 \dots

解答ステップ

π (9 0^{2}) (1 0^{- 6}) (29.17)

指数の規則を適用する:

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

= 9 0^{2} \cdot 29.17 π \frac{1}{1 0 ^{6}}

分数を乗じる:

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

= 29.17 \cdot \frac{9 0 ^{2} \cdot 1 π}{1 0 ^{6}}

\frac{1 π 9 0 ^{2}}{1 0 ^{6}} = \frac{81 π}{10000}

= 29.17 \cdot \frac{81 π}{10000}

分数を乗じる:

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

= \frac{81 π 29.17}{10000}

数を乗じる:

81 \cdot 29.17 = 2362.77

= \frac{2362.77 π}{10000}

数を乗じる:

2362.77 \cdot 3.14159 \dots = 7422.86087 \dots

= \frac{7422.86087 \dots}{10000}

数を割る:

\frac{7422.86087 \dots}{10000} = 0.74228 \dots

= 0.74228 \dots