Question 83729
(y^5)^3(y^3)^2/(y^4)^4

To solve:

step 1: use propery (x^m)^n=x^(m*n) to each term, we get:
   [y^(5*3)y^(3*2)]/y^(4*4)
   simplify to get: (y^15*y^6)/y^16

step 2: use property x^m*x^n=x^(m+n) to the numerator, we get:
   [y^(15+6)/y^16)]
   simplify: y^23/y^16

step 3: use property x^m/x^n=x^(m-n) we get:
   y^(23-16)
  simplify  y^7

your answer is y^7