To simplify the expression \( 2^4 \cdot 2^2 \) using the Product Rule of Exponents, you can apply the rule which states that when multiplying two expressions with the same base, you add the exponents.
In this case, the base is 2:
\[ 2^4 \cdot 2^2 = 2^{4+2} \]
Now, add the exponents:
\[ 2^{4+2} = 2^6 \]
Thus, the simplified expression is:
\[ 2^6 \]
If you want to express \( 2^6 \) as a numerical value, it equals \( 64 \). Therefore, the final answer can be written as:
\[ 2^6 \text{ or } 64 \]
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