Answer: The product will always be a positive number.
Explanation:
You can find the solution by using any numbers and following the same procedure.
Let's say the six negative numbers are all -1 and the three positive numbers are all positive 1's.
-1 * -1* -1 * -1 * -1 * -1 * 1 * 1 * 1 = 1
Since the solution is positive one, then it means that the product will always be positive.