In general, (-1)ⁿ = -1, if n is odd and (-1)ⁿ = 1, if n is even.
That is -1 to the power n is negative when n is an odd number, and -1 to the power n is positive when n is an even number.
Disclaimer:
The question is not clear.
Assuming the following things and answering the question.
Possibility 1:
- (-1)(-1)(+1)(-1)(-1)(-1)(-1)
- (-1)(-1)(-1)(-1)(-1)(-1)(-1)(-1)(-1)
- (-1)(-1)(-1)
- (-1)(-1)(-1)(-1)(-1)(-1)
In the first option, the number of times -1 is present is 6.
So, the product is positive and this goes into the "Product is positive category".
In the second option, the number of times -1 is present is 9.
So, the product is negative and this goes into the "Product is negative category".
In the third option, the number of times -1 is present is 3.
So, the product is negative and this goes into the "Product is negative category".
In the fourth option, the number of times -1 is present is 6.
So, the product is positive and this goes into the "Product is positive category".
Possibility 2:
- (-1)(-1)(-1)(-1)(-1)(-1)(-1)
- (-1)(-1)(-1)(-1)(-1)(-1)(-1)(-1)(-1)(-1)(-1)(-1)
- (-1)(-1)(-1)(-1)(-1)(-1)
In the first option, the number of times -1 is present is 7.
So, the product is negative and this goes into the "Product is negative category".
In the second option, the number of times -1 is present is 12.
So, the product is positive and this goes into the "Product is positive category".
In the third option, the number of times -1 is present is 6.
So, the product is positive and this goes into the "Product is positive category".
Learn more at:
brainly.com/question/28225093
#SPJ9
