Assignment:
Decide whether each of the given sets is a group with respect to the indicated operation.
Q1- For a fixed positive integer n, the set of all complex numbers x such that x^n=1(that is, the set of all nth roots of 1),with operation multiplication.
Q2-The set of all complex numbers x that have absolute value 1, with operation multiplication. Recall that the absolute value of a complex number x written in the form x= a + bi, with a and b real, is given by lxl=l a+bi l=Sqrta^2+b^2
Provide complete and step by step solution for the question and show calculations and use formulas.