簡約 2/3 xpix2.5^3

解

簡約

\frac{2}{3} x π x 2. 5^{3}

32.72492 \dots x^{2}

解答ステップ

\frac{2}{3} x π x \cdot 2. 5^{3}

指数の規則を適用する:

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

xx = x^{1 + 1}

= \frac{2}{3} π x^{1 + 1} \cdot 2. 5^{3}

数を足す:

1 + 1 = 2

= \frac{2}{3} π x^{2} \cdot 2. 5^{3}

分数を乗じる:

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

= \frac{2 π x ^{2} \cdot 2. 5 ^{3}}{3}

2 π x^{2} \cdot 2. 5^{3} = 31.25 π x^{2}

= \frac{31.25 π x ^{2}}{3}

数を乗じる:

31.25 \cdot 3.14159 \dots = 98.17477 \dots

= \frac{98.17477 \dots x ^{2}}{3}

数を割る:

\frac{98.17477 \dots}{3} = 32.72492 \dots

= 32.72492 \dots x^{2}