Another maths question

I was wondering since every number belonging to R can be used as a power of another one what would be the result if we apply the smae thing to complex numbers?
Ex 2^2 = 4, 5^3 = 625…
so if i have two complex number z1 and z2, if z1 = a1+ib1 and z2 = a2+ib2; where a1 is different from a2 and b1 is different from b2.
what would be the result of z1^z2 ? ( or what does it mean?):q: