Final answer:
To compute the product in two ways, we can either multiply pairwise or apply the rules for multiplying positive and negative numbers. The result will be either 12 or 1056 depending on the method used.
Step-by-step explanation:
To compute the product of the given numbers, we can use two different methods.
Method 1: Multiplying pairwise
We can multiply each pair of numbers and then add the products together.
6 * (-3) + 1 * (-6) + 1 * (-2) + (-8) * (-7) + (-4) * 8 + (-2) * (-7) = -18 + (-6) + (-2) + 56 + (-32) + 14 = 12
Method 2: Using multiplication rules for sign
We can group the numbers into positive and negative sets and apply the rules for multiplication of positive and negative numbers.
Positive set: 6, 1, 1, 8 = 6 * 1 * 1 * 8 = 48
Negative set: -3, -6, -2, -7, -4, -2 = -3 * -6 * -2 * -7 * -4 * -2 = -1008
Product = Positive set - Negative set = 48 - (-1008) = 48 + 1008 = 1056