Use the Product Rule of Exponents to simplify the expression 3 8⋅3 3

To simplify the expression \(3^8 \cdot 3^3\) using the Product Rule of Exponents, we can apply the rule which states that when multiplying two powers that have the same base, we add the exponents.

Here's the step-by-step simplification:

\[ 3^8 \cdot 3^3 = 3^{8+3} \]

Now, add the exponents:

\[ 3^{8+3} = 3^{11} \]

So, the simplified expression is:

\[ 3^{11} \]