To simplify the expression \( 24 \cdot 22 \) using the Product Rule of Exponents, we first rewrite the numbers in terms of their base and exponents.
The expression can be interpreted as:
\[ 2^4 \cdot 2^2 \]
According to the Product Rule of Exponents, which states that \( a^m \cdot a^n = a^{m+n} \), we can combine the exponents:
\[ 2^4 \cdot 2^2 = 2^{4+2} = 2^6 \]
So, the simplified expression is:
\[ 2^6 \]
If you want the numerical value of \( 2^6 \), it equals:
\[ 2^6 = 64 \]
Thus, the expression \( 24 \cdot 22 \) simplifies to \( 2^6 \) or \( 64 \).
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