簡約 (a^3a^2)^4

解

簡約

(a^{3} a^{2})^{4}

a^{20}

解答ステップ

(a^{3} a^{2})^{4}

指数の規則を適用する:

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

(a^{3} a^{2})^{4} = (a^{3})^{4} (a^{2})^{4}

= (a^{3})^{4} (a^{2})^{4}

簡素化

(a^{3})^{4} : a^{12}

= a^{12} (a^{2})^{4}

簡素化

(a^{2})^{4} : a^{8}

= a^{12} a^{8}

指数の規則を適用する:

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

a^{12} a^{8} = a^{12 + 8}

= a^{12 + 8}

数を足す:

12 + 8 = 20

= a^{20}