簡約 (3x^4y^2)(6x^3y^4)

解

簡約

(3 x^{4} y^{2}) (6 x^{3} y^{4})

18 x^{7} y^{6}

解答ステップ

(3 x^{4} y^{2}) (6 x^{3} y^{4})

指数の規則を適用する:

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

x^{4} x^{3} = x^{4 + 3}

= 3 y^{2} \cdot 6 x^{4 + 3} y^{4}

数を足す:

4 + 3 = 7

= 3 y^{2} \cdot 6 x^{7} y^{4}

指数の規則を適用する:

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

y^{2} y^{4} = y^{2 + 4}

= 3 \cdot 6 x^{7} y^{2 + 4}

数を足す:

2 + 4 = 6

= 3 \cdot 6 x^{7} y^{6}

数を乗じる:

3 \cdot 6 = 18

= 18 x^{7} y^{6}