簡約 (8x^4y^8)(3x^4y^2)

解

簡約

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

24 x^{8} y^{10}

解答ステップ

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

指数の規則を適用する:

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

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

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

数を足す:

4 + 4 = 8

= 8 y^{8} \cdot 3 x^{8} y^{2}

指数の規則を適用する:

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

y^{8} y^{2} = y^{8 + 2}

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

数を足す:

8 + 2 = 10

= 8 \cdot 3 x^{8} y^{10}

数を乗じる:

8 \cdot 3 = 24

= 24 x^{8} y^{10}