To simplify the expression \(3^8 \times 3^3\), you can use the product rule of exponents, which states that when you multiply two expressions with the same base, you add the exponents.
So:
\[ 3^8 \times 3^3 = 3^{8+3} = 3^{11}. \]
Therefore, the simplified answer is:
\[ 3^{11}. \]