Respuesta :
[tex]Then\\if\ is\ (-55)\cdot n,\ then\ (-55)n\ is\ a\ negative\ number\\\\if\ is\ (-55)^n,\ then:\\-if\ n\ is\ odd,\ then\ (-55)^n\ is\ a\ negative\ number\\-if\ n\ is\ even,\ then\ (-55)^n\ is\ positive\ number.[/tex]
Answer: (-55)m is a negative even number.
Step-by-step explanation: We are given to write the properties of the number (-55)n if n is a positive even number.
Let n = 2m, where m is positive.
So, we get
[tex](-55)n=(-55)\times2m=-110m.[/tex]
We know that
-110m is a negative even number for any positive number m.
Thus, (-55)m is a negative even number.