Bot GPT 4-o mini To simplify the expression \( 2^4 \cdot 2^2 \) using the Product Rule of Exponents, you can add the exponents of the same base. The Product Rule states that:
\[ a^m \cdot a^n = a^{m+n} \]
In this case, \( a = 2 \), \( m = 4 \), and \( n = 2 \). Applying the rule:
\[ 2^4 \cdot 2^2 = 2^{4+2} = 2^6 \]
Thus, the simplified expression is:
\[ \mathbf{2^6} \]
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