簡約 3m^{1/4}(mn^{1/3})^{3/2}

解

簡約

3 m^{\frac{1}{4}} (m n^{\frac{1}{3}})^{\frac{3}{2}}

3 m^{\frac{7}{4}} n^{\frac{1}{2}}

解答ステップ

3 m^{\frac{1}{4}} (m n^{\frac{1}{3}})^{\frac{3}{2}}

簡素化

(m n^{\frac{1}{3}})^{\frac{3}{2}} : m^{\frac{3}{2}} n^{\frac{1}{2}}

= 3 m^{\frac{1}{4}} m^{\frac{3}{2}} n^{\frac{1}{2}}

簡素化

m^{\frac{1}{4}} m^{\frac{3}{2}} : m^{\frac{7}{4}}

= 3 m^{\frac{7}{4}} n^{\frac{1}{2}}