簡約 (6x^5y^3)^2

解

簡約

(6 x^{5} y^{3})^{2}

36 x^{10} y^{6}

解答ステップ

(6 x^{5} y^{3})^{2}

指数の規則を適用する:

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

(6 x^{5} y^{3})^{2} = 6^{2} (x^{5})^{2} (y^{3})^{2}

= 6^{2} (x^{5})^{2} (y^{3})^{2}

6^{2} = 36

= 36 (x^{5})^{2} (y^{3})^{2}

簡素化

(x^{5})^{2} : x^{10}

= 36 x^{10} (y^{3})^{2}

簡素化

(y^{3})^{2} : y^{6}

= 36 x^{10} y^{6}