G is the group of nth roots of unity under complex multiplication Zn is the group of integers represented using exponential notation as e(2pi ix)/n, where x is an integer ranging from 0 to n-1. Consider the function to defined by f(e(2pi ix)/n)=[x]n from G -->Zn.  Chose a prime number, n, between 10 and 99, and using n, prove why the function f(e(2pi ix)/n)=[x]n is operation preserving. Justify your work.

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