簡約 5x^4(x^2)^3(2x)^2

解

簡約

5 x^{4} \cdot (x^{2})^{3} \cdot (2 x)^{2}

20 x^{12}

解答ステップ

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

簡素化

(x^{2})^{3} : x^{6}

= 5 x^{4} x^{6} (2 x)^{2}

簡素化

(2 x)^{2} : 4 x^{2}

= 5 x^{4} x^{6} \cdot 4 x^{2}

数を乗じる:

5 \cdot 4 = 20

= 20 x^{4} x^{6} x^{2}

指数の規則を適用する:

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

x^{4} x^{6} x^{2} = x^{4 + 6 + 2}

= 20 x^{4 + 6 + 2}

数を足す:

4 + 6 + 2 = 12

= 20 x^{12}