You know that the product of two negative numbers is positive, and the product of three negative numbers is negative. write a rule for finding the sign of the product of n negative numbers.

If n is even, the sign of the product of n negative even numbers can be determined using the equation  

If n is odd, the sign of the product of n negative odd numbers can be determined using the equation  

Product of two negative numbers is Positive

Product of three negative numbers is negative

Let the exponent showing frequency of negative numbers be n

For two negative numbers, n = 2

product of two negative numbers will be

Product of three negative numbers will be

Since 2 is an even number and 3 is an odd number, we can conclude that:

If n is even, the sign of the product of n negative even numbers can be determined using the equation  

If n is odd, the sign of the product of n negative odd numbers can be determined using the equation  

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