Step 1 :Simplify each square root separately. The square root of 8 can be simplified to \(2\sqrt{2}\), and the square root of 32 can be simplified to \(4\sqrt{2}\).
Step 2 :Substitute the simplified square roots into the expression, which becomes \(-2\sqrt{2} \times \frac{1}{2} \times 4\sqrt{2}\).
Step 3 :Multiply these together to get the final answer.
Step 4 :The simplest form of the expression \(-\sqrt{8} \times \frac{1}{2} \sqrt{32}\) is \(-8\).
Step 5 :Final Answer: \(\boxed{-8}\)