簡約 ((-4pi^2)^2)/(4^2)*0.063^2

解

簡約

\frac{( - 4 π ^{2} ) ^{2}}{4 ^{2}} \cdot 0.06 3^{2}

0.38661 \dots

解答ステップ

\frac{( - 4 π ^{2} ) ^{2}}{4 ^{2}} \cdot 0.06 3^{2}

指数の規則を適用する:

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

\frac{( - 4 π ^{2} ) ^{2}}{4 ^{2}} = (\frac{- 4 π ^{2}}{4})^{2}

= 0.06 3^{2} (\frac{- 4 π ^{2}}{4})^{2}

(\frac{- 4 π ^{2}}{4})^{2} = π^{4}

= 0.06 3^{2} π^{4}

元を10進法形式に変換する

π^{4} = 97.40909 \dots

= 0.06 3^{2} \cdot 97.40909 \dots

0.06 3^{2} = 0.003969

= 0.003969 \cdot 97.40909 \dots

数を乗じる:

97.40909 \dots \cdot 0.003969 = 0.38661 \dots

= 0.38661 \dots