We can use the product rule to simplify expression \(3^2 \cdot 2^3\)

Explanation

We cannot use the product rule to simplify expressions like \(3^2 \cdot 2^3\), where the bases are not the same.  However, we can simplify this expression by doing the arithmetic:

\(3^2 \cdot 2^3 = 9 \cdot 8 = 72\)

\(3^2 = 3 \cdot 3 = 9\) and \(2^3 = 2 \cdot 2 \cdot 2 = 8\)