Exponentiation
A complex number with a complex exponent is written as
w z
for w ≠ 0.
Explanation
Complex powers can be converted to polar coordinates to simplefy calculations. So for
you see
Substitution of z = c + di then gives
A complex number with a complex exponent is written as
w z
for w ≠ 0.
Complex powers can be converted to polar coordinates to simplefy calculations. So for
you see
Substitution of z = c + di then gives