To simplify the expression \((12 \times 12 \times 12) \times (12 \times 12 \times 12)\), you can first note that \(12 \times 12 \times 12\) is the same as \(12^3\). Therefore, you can rewrite the expression as:
\[ (12^3) \times (12^3) \]
Using the power rule of exponents, which states that \(a^m \times a^n = a^{m+n}\), you can combine the two terms:
\[ 12^3 \times 12^3 = 12^{3+3} = 12^6 \]
So, the simplified equivalent expression is:
\[ 12^6 \]