簡約 (1/2 sqrt(3))^2

解

簡約

(\frac{1}{2} 3)^{2}

\frac{3}{4}

十進法表記

0.75

解答ステップ

(\frac{1}{2} 3)^{2}

指数の規則を適用する:

(a \cdot b)^{n} = a^{n} b^{n}

(\frac{1}{2} 3)^{2} = (\frac{1}{2})^{2} (3)^{2}

= (\frac{1}{2})^{2} (3)^{2}

(\frac{1}{2})^{2} = \frac{1}{4}

= \frac{1}{4} (3)^{2}

(3)^{2} = 3

= 3 \cdot \frac{1}{4}

分数を乗じる:

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

= \frac{1 \cdot 3}{4}

数を乗じる:

1 \cdot 3 = 3

= \frac{3}{4}