簡約 (36x^6y^8)^{1/2}

解

簡約

(36 x^{6} y^{8})^{\frac{1}{2}}

6 x^{3} y^{4}

解答ステップ

(36 x^{6} y^{8})^{\frac{1}{2}}

指数の規則を適用する:

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

(36 x^{6} y^{8})^{\frac{1}{2}} = 3 6^{\frac{1}{2}} (x^{6})^{\frac{1}{2}} (y^{8})^{\frac{1}{2}}

= 3 6^{\frac{1}{2}} (x^{6})^{\frac{1}{2}} (y^{8})^{\frac{1}{2}}

3 6^{\frac{1}{2}} = 6

= 6 (x^{6})^{\frac{1}{2}} (y^{8})^{\frac{1}{2}}

簡素化

(x^{6})^{\frac{1}{2}} : x^{3}

= 6 x^{3} (y^{8})^{\frac{1}{2}}

簡素化

(y^{8})^{\frac{1}{2}} : y^{4}

= 6 x^{3} y^{4}