簡約 (3x^2y^4)(4xy^2)

解

簡約

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

12 x^{3} y^{6}

解答ステップ

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

指数の規則を適用する:

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

x^{2} x = x^{2 + 1}

= 3 y^{4} \cdot 4 x^{2 + 1} y^{2}

数を足す:

2 + 1 = 3

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

指数の規則を適用する:

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

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

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

数を足す:

4 + 2 = 6

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

数を乗じる:

3 \cdot 4 = 12

= 12 x^{3} y^{6}