The expression \((12 \cdot 12 \cdot 12) \cdot (12 \cdot 12 \cdot 12)\) can be simplified using the Power Rule of Exponents.
First, we can rewrite the expression:
\[ (12 \cdot 12 \cdot 12) = 12^3 \]
So the expression becomes:
\[ (12^3) \cdot (12^3) \]
Now, using the property of exponents that states \(a^m \cdot a^n = a^{m+n}\), we can combine the exponents:
\[ (12^3) \cdot (12^3) = 12^{3+3} = 12^6 \]
Therefore, the simplified equivalent expression is:
\[ 12^6 \]