Use the product Rule of exponents to simplify the expression 3 to the power of 8 ⋅ 3 to the power of 3

Answer 1

To simplify the expression \( 3^8 \cdot 3^3 \) using the Product Rule of exponents, you add the exponents when multiplying like bases:

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

So, the simplified expression is \( 3^{11} \).