簡約 (0.15)(pi(((0.035^2))/((0.01^2))))

解

簡約

(0.15) (π (\frac{( 0.03 5 ^{2} )}{( 0.0 1 ^{2} )}))

5.77267 \dots

解答ステップ

(0.15) (π (\frac{( 0.03 5 ^{2} )}{( 0.0 1 ^{2} )}))

指数の規則を適用する:

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

\frac{0.03 5 ^{2}}{0.0 1 ^{2}} = (\frac{0.035}{0.01})^{2}

= 0.15 π (\frac{0.035}{0.01})^{2}

(\frac{0.035}{0.01})^{2} = \frac{0.03 5 ^{2}}{0.0 1 ^{2}}

= 0.15 π \frac{0.03 5 ^{2}}{0.0 1 ^{2}}

分数を乗じる:

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

= 0.15 \cdot \frac{0.03 5 ^{2} π}{0.0 1 ^{2}}

\frac{0.03 5 ^{2} π}{0.0 1 ^{2}} = 38.48451 \dots

= 0.15 \cdot 38.48451 \dots

数を乗じる:

0.15 \cdot 38.48451 \dots = 5.77267 \dots

= 5.77267 \dots