complex_power.py

from math import *

# requires x != 0
def radial(x,y):
    r = (x**2 + y**2)**0.5
    t = atan(1.0*y/x)
    return r,t

def cartesian(r,t):
    x = cos(t) * r
    y = sin(t) * r
    return x,y

def power(x,y,n):
    r,t = radial(x,y)
    r = r**n
    t = t*n
    x,y = cartesian(r,t)
    return round(x,2), round(y,2)