簡約 (12ac^2b)*(12axc^2)

解

簡約

(12 a c^{2} b) \cdot (12 a x c^{2})

144 a^{2} c^{4} b x

解答ステップ

(12 a c^{2} b) (12 a x c^{2})

指数の規則を適用する:

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

12 \cdot 12 = 1 2^{1 + 1}

= a c^{2} b \cdot 1 2^{1 + 1} a x c^{2}

数を足す:

1 + 1 = 2

= a c^{2} b \cdot 1 2^{2} a x c^{2}

指数の規則を適用する:

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

aa = a^{1 + 1}

= c^{2} b \cdot 1 2^{2} a^{1 + 1} x c^{2}

数を足す:

1 + 1 = 2

= c^{2} b \cdot 1 2^{2} a^{2} x c^{2}

指数の規則を適用する:

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

c^{2} c^{2} = c^{2 + 2}

= b \cdot 1 2^{2} a^{2} x c^{2 + 2}

数を足す:

2 + 2 = 4

= b \cdot 1 2^{2} a^{2} x c^{4}

1 2^{2} = 144

= 144 a^{2} c^{4} b x