Multiply the following. ( − 1 ) ( − 1 ) ( − 1 ) ( − 1 ) (-1)(-1)(-1)(-1)

Here we're asked to multiply the following, -1 times 1 times 1 times -1. So, let's start from left to right here, multiplying that 1st -1 times -1. Now, multiplying two negatives together results in a positive. Remember, multiplying two integers of the same sign, our answer is going to be positive and 1 times 1 is just 1, so this is 1. Then I want to multiply 1 times -1 times -1 again. So, continuing from left to right here, 1 times -1, this is going to be -1. These are two integers of different signs, so that has to be a negative. Then we finally We need to multiply -1 times that remaining -1 here, -1 times -1, we already did this multiplication before. This is going to give us 1. So, our answer here is 1. Now, it's easy to get lost in all the negative1s happening in this problem here. So, let's do a final check on our sign here. How many negative integers did we start out with? Well, we had 1234 negative integers, that's an even amount. So an even number of negative integers should result in a positive product, and that's what we got here, a positive 1. Now, multiplying these times each other 4 times is just continually flipping the sign. So I multiply -1 times -1 gives me a positive 1. I multiply that by -1, I'm back to -1. Then 1 more time multiplying by -1, we flip that sign one last time and end up with 1. Let us know if you have any questions and I'll see you soon.