簡約 3(9e^{-6})(26(pi(0.8)^2))(70)

解

簡約

3 (9 e^{- 6}) (26 (π (0.8)^{2})) (70)

244.90525 \dots

解答ステップ

3 (9 e^{- 6}) (26 (π (0.8)^{2})) (70)

指数の規則を適用する:

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

= 3 \cdot 9 \cdot 26 \cdot 70 \cdot 0. 8^{2} π \frac{1}{e ^{6}}

分数を乗じる:

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

= \frac{1 \cdot 3 \cdot 9 \cdot 26 π 0. 8 ^{2} \cdot 70}{e ^{6}}

数を乗じる:

1 \cdot 3 \cdot 9 \cdot 26 \cdot 70 = 49140

= \frac{49140 \cdot 0. 8 ^{2} π}{e ^{6}}

49140 π 0. 8^{2} = 31449.6 π

= \frac{31449.6 π}{e ^{6}}

元を10進法形式に変換する

e^{6} = 403.42879 \dots

= \frac{31449.6 π}{403.42879 \dots}

数を乗じる:

31449.6 \cdot 3.14159 \dots = 98801.83231 \dots

= \frac{98801.83231 \dots}{403.42879 \dots}

数を割る:

\frac{98801.83231 \dots}{403.42879 \dots} = 244.90525 \dots

= 244.90525 \dots