簡約 ((x^2)^3x^2)^2

解

簡約

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

x^{16}

解答ステップ

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

指数の規則を適用する:

(a \cdot b)^{n} = a^{n} b^{n}

((x^{2})^{3} x^{2})^{2} = ((x^{2})^{3})^{2} (x^{2})^{2}

= ((x^{2})^{3})^{2} (x^{2})^{2}

簡素化

((x^{2})^{3})^{2} : x^{12}

= x^{12} (x^{2})^{2}

簡素化

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

= x^{12} x^{4}

指数の規則を適用する:

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

x^{12} x^{4} = x^{12 + 4}

= x^{12 + 4}

数を足す:

12 + 4 = 16

= x^{16}