The Product Rule of Exponents states that when multiplying two numbers with the same base, you can add the exponents. In your expression, it appears you are referring to powers of 2.
To clarify the expression \( 24 \cdot 22 \):
- \( 24 = 2^4 \)
- \( 22 = 2^2 \)
Now, applying the Product Rule:
\[ 2^4 \cdot 2^2 = 2^{4+2} = 2^6 \]
Thus, the simplified expression is:
\[ 2^6 \]
If you need the numerical value of \( 2^6 \):
\[ 2^6 = 64 \]
So the final simplified expression is \( 2^6 \) or 64.
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