簡約 (-x^3y^2z)(2x^3y^4z)^3

解

簡約

(- x^{3} y^{2} z) (2 x^{3} y^{4} z)^{3}

- 8 x^{12} y^{14} z^{4}

解答ステップ

(- x^{3} y^{2} z) (2 x^{3} y^{4} z)^{3}

規則を適用する:

(- a) = - a

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

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

簡素化

(2 x^{3} y^{4} z)^{3} : 8 x^{9} y^{12} z^{3}

= - x^{3} y^{2} z \cdot 8 x^{9} y^{12} z^{3}

簡素化

x^{3} x^{9} : x^{12}

= - x^{12} y^{2} z \cdot 8 y^{12} z^{3}

簡素化

y^{2} y^{12} : y^{14}

= - x^{12} y^{14} z \cdot 8 z^{3}

簡素化

z z^{3} : z^{4}

= - x^{12} y^{14} z^{4} \cdot 8

= - 8 x^{12} y^{14} z^{4}