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[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.

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