簡約 (3x^2y^4)(5a^2x^3y^8)

解

簡約

(3 x^{2} y^{4}) (5 a^{2} x^{3} y^{8})

15 a^{2} x^{5} y^{12}

解答ステップ

(3 x^{2} y^{4}) (5 a^{2} x^{3} y^{8})

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}

= 3 y^{4} \cdot 5 a^{2} x^{2 + 3} y^{8}

数を足す:

2 + 3 = 5

= 3 y^{4} \cdot 5 a^{2} x^{5} y^{8}

指数の規則を適用する:

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

y^{4} y^{8} = y^{4 + 8}

= 3 \cdot 5 a^{2} x^{5} y^{4 + 8}

数を足す:

4 + 8 = 12

= 3 \cdot 5 a^{2} x^{5} y^{12}

数を乗じる:

3 \cdot 5 = 15

= 15 a^{2} x^{5} y^{12}