簡約 (-5x^2y^3)^2

解

簡約

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

25 x^{4} y^{6}

解答ステップ

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

指数の規則を適用する:

(- a)^{n} = a^{n},

(

n

が偶数の場合)

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

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

指数の規則を適用する:

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

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

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

5^{2} = 25

= 25 (x^{2})^{2} (y^{3})^{2}

簡素化

(x^{2})^{2} : x^{4}

= 25 x^{4} (y^{3})^{2}

簡素化

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

= 25 x^{4} y^{6}