Simplify (12×6)^20 ÷ (6×12)^4: Advanced Exponent Division

To solve the expression $\frac{\left(12\times6\right)^{20}}{\left(6\times12\right)^4}$, we will use the Power of a Quotient Rule for Exponents. This rule states that $\frac{a^m}{a^n} = a^{m-n}$.

First, let's simplify the expression inside the parentheses.

The numerator is: $(12 \times 6)^{20}$ and the denominator is: $(6 \times 12)^4$.

Notice that $12 \times 6 = 72$. Therefore, our expression simplifies to:

$\frac{72^{20}}{72^4}$

Applying the Power of a Quotient Rule, we have:

$72^{20-4} = 72^{16}$

Thus, the expression simplifies to $72^{16}$.

The solution to the question is: $72^{16}$. A'+C' are correct.