簡約-12x^2y^2(10x^3y^2)

解

簡約

- 12 x^{2} y^{2} (10 x^{3} y^{2})

- 120 x^{5} y^{4}

解答ステップ

- 12 x^{2} y^{2} (10 x^{3} y^{2})

指数の規則を適用する:

a^{b} \cdot a^{c} = a^{b + c}

x^{2} x^{3} = x^{2 + 3}

= - 12 y^{2} \cdot 10 x^{2 + 3} y^{2}

数を足す:

2 + 3 = 5

= - 12 y^{2} \cdot 10 x^{5} y^{2}

指数の規則を適用する:

a^{b} \cdot a^{c} = a^{b + c}

y^{2} y^{2} = y^{2 + 2}

= - 12 \cdot 10 x^{5} y^{2 + 2}

数を足す:

2 + 2 = 4

= - 12 \cdot 10 x^{5} y^{4}

数を乗じる:

12 \cdot 10 = 120

= - 120 x^{5} y^{4}