簡約 2b^{1/2}(3b^{1/2}c^{1/3})^2

解

簡約

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

18 b^{\frac{3}{2}} c^{\frac{2}{3}}

解答ステップ

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

簡素化

(3 b^{\frac{1}{2}} c^{\frac{1}{3}})^{2} : 9 b c^{\frac{2}{3}}

= 2 b^{\frac{1}{2}} \cdot 9 b c^{\frac{2}{3}}

数を乗じる:

2 \cdot 9 = 18

= 18 b^{\frac{1}{2}} b c^{\frac{2}{3}}

簡素化

b^{\frac{1}{2}} b : b^{\frac{3}{2}}

= 18 b^{\frac{3}{2}} c^{\frac{2}{3}}