簡約 10^{-6}pi(0.4)^2

解

簡約

1 0^{- 6} \cdot π \cdot (0.4)^{2}

5.02655 E - 7

解答ステップ

1 0^{- 6} π (0.4)^{2}

指数の規則を適用する:

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

= 0. 4^{2} π \frac{1}{1 0 ^{6}}

分数を乗じる:

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

= \frac{1 π 0. 4 ^{2}}{1 0 ^{6}}

乗算:

1 π = π

= \frac{0. 4 ^{2} π}{1 0 ^{6}}

0. 4^{2} = 0.16

= \frac{0.16 π}{1 0 ^{6}}

1 0^{6} = 1000000

= \frac{0.16 π}{1000000}

数を乗じる:

3.14159 \dots \cdot 0.16 = 0.50265 \dots

= \frac{0.50265 \dots}{1000000}

数を割る:

\frac{0.50265 \dots}{1000000} = 5.02655 E - 7

= 5.02655 E - 7