簡約 16x^5y^4(14x^2y^2)

解

簡約

16 x^{5} y^{4} (14 x^{2} y^{2})

224 x^{7} y^{6}

解答ステップ

16 x^{5} y^{4} (14 x^{2} y^{2})

指数の規則を適用する:

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

x^{5} x^{2} = x^{5 + 2}

= 16 y^{4} \cdot 14 x^{5 + 2} y^{2}

数を足す:

5 + 2 = 7

= 16 y^{4} \cdot 14 x^{7} 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}

= 16 \cdot 14 x^{7} y^{4 + 2}

数を足す:

4 + 2 = 6

= 16 \cdot 14 x^{7} y^{6}

数を乗じる:

16 \cdot 14 = 224

= 224 x^{7} y^{6}