The solution to this prob seems to be very easy
Cube root of any number P = P1/3 . 11/3
WHICH MEANS ,
A=P1/3
B=P1/3 w
C=P1/3 w2
therefore in the expresion given , put values of A,B,C and P1/3 is cancelled out from num and denom.
Take w common from denom . and u get w(num.) as denom.
Answer = 1/w = w2