Any even power of a complex number is a nonnegative real number.
No! No!
For example:(1+i)^2=1+2i -1=2i is a complex number:2i
Z = a + bi z^2=(a+bi)^2= a^2+2abi -b^2=(a^2-b^2)+2abi
As long as a and b are not 0, then z^2 is not a real number.
If the even power of a real number is positive, then the real number must be greater than zero.
Wrong, e.g.(-1)^2=1
Error, such as (-1)^2=1