簡約 (-4\sqrt[3]{3x^2y^5})(2\sqrt[3]{9xy^2})

解

簡約

(- 4 3 3 x^{2} y^{5}) (2 3 9 x y^{2})

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

解答ステップ

(- 4 3 3 x^{2} y^{5}) (2 3 9 x y^{2})

規則を適用する:

(- a) = - a

(- 4 3 3 x^{2} y^{5}) = - 4 3 3 x^{2} y^{5}

= - 4 3 3 x^{2} y^{5} \cdot 2 3 9 x y^{2}

簡素化

3 3 x^{2} y^{5} : 33 3 x^{2} y 3 y^{2}

= - 433 3 x^{2} y 3 y^{2} \cdot 2 3 9 x y^{2}

簡素化

3 9 x y^{2} : 39 3 x 3 y^{2}

= - 433 3 x^{2} y 3 y^{2} \cdot 239 3 x 3 y^{2}

3339 = 327

= - 4327 3 x^{2} y 3 y^{2} \cdot 2 3 x 3 y^{2}

327 = 3

= - 4 \cdot 3 3 x^{2} y 3 y^{2} \cdot 2 3 x 3 y^{2}

数を乗じる:

- 4 \cdot 3 \cdot 2 = - 24

= - 24 3 x^{2} y 3 y^{2} 3 x 3 y^{2}

指数の規則を適用する:

aa = a^{2}

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

= - 24 3 x^{2} y (3 y^{2})^{2} 3 x

= - 24 y (3 y^{2})^{2} 3 x^{2} 3 x