簡約 20pipi*((0.612)/(3.06))^4

解

簡約

20 \cdot π \cdot π \cdot (\frac{0.612}{3.06})^{4}

0.31582 \dots

解答ステップ

20 ππ (\frac{0.612}{3.06})^{4}

指数の規則を適用する:

a^{b} \cdot a^{c} = a^{b + c}

ππ = π^{1 + 1}

= 20 π^{1 + 1} (\frac{0.612}{3.06})^{4}

数を足す:

1 + 1 = 2

= 20 π^{2} (\frac{0.612}{3.06})^{4}

(\frac{0.612}{3.06})^{4} = \frac{0.61 2 ^{4}}{3.0 6 ^{4}}

= 20 π^{2} \frac{0.61 2 ^{4}}{3.0 6 ^{4}}

分数を乗じる:

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

= \frac{0.61 2 ^{4} \cdot 20 π ^{2}}{3.0 6 ^{4}}

0.61 2^{4} \cdot 20 π^{2} = 2.80566 \dots π^{2}

= \frac{2.80566 \dots π ^{2}}{3.0 6 ^{4}}

3.0 6^{4} = 87.67700 \dots

= \frac{2.80566 \dots π ^{2}}{87.67700 \dots}

元を10進法形式に変換する

π^{2} = 9.86960 \dots

= \frac{2.80566 \dots \cdot 9.86960 \dots}{87.67700 \dots}

数を乗じる:

2.80566 \dots \cdot 9.86960 \dots = 27.69079 \dots

= \frac{27.69079 \dots}{87.67700 \dots}

数を割る:

\frac{27.69079 \dots}{87.67700 \dots} = 0.31582 \dots

= 0.31582 \dots