Operation of complex conjugation respects sum and products
means what?
The Result of sum or product of each conjugate term will give me another complex no .
(i.e Closed under complex no with respect to addition and multiplication)
_ _
Z + W ( addition of two Complex nos)
Gives me another complex no
Correct?
Wiki page of exponentiation
Commutative operation means changing the position of operands and getting same result.Conjugation is commutative under composition with exponentiation to integer powers
this is the expression
( z^n)' = (Z') ^n for all n belongs to integer. ' denotes conjugation
Now if i have a expression like this a+b ; now if i want to express the idea of commutation then i would interchange b and a -> b+a right?
Here i understood and demonstrated "changing the position of operands"
Also in non commutative operation like exponentition i can change the order of operands a^b to this -> b^a .
But if my expression is like this ( z^n)' i want to commute operands z and n wrt to conjugation not exponentiation what should be my approach ?