To simplify the expression \(2^4 \cdot 2^2\) using the Product Rule of Exponents, you add the exponents when multiplying the same base. The Product Rule states:
\[ a^m \cdot a^n = a^{m+n} \]
In this case, we have:
\[ 2^4 \cdot 2^2 = 2^{4+2} = 2^6 \]
So, the simplified expression is:
\[ 2^6 \]