Non-Integer Power of Complex Numbers

Previously, we discuss the integer power of complex numbers in which we use a formula to resolve power. Now, the question arises what if we have fractional power on a complex number. Hence to solve the fractional power or non-integer power of a complex number, we have a formula for it.
Note: De-Moivere's formula does not hold for the non-integer power of a complex number. It is valid for only integer power. 
In this pdf, we will discuss 
  • Prove of non-integer power formula of complex numbers &
  • Examples
    Non integer and integer