Write each of the following expressions in the form (ca^p)(b^q) where c,p, and q are numbers?

Question

1. ((a^2/3)/(b^1/2))^2 x (b^3/2)/(a^1/2)

Answer 1

((a^2/3)/(b^1/2))^2 x (b^3/2)/(a^1/2)
= (a^4/3/b)(b^3/2/a^1/2)
a^5/6b^1/2
= (ca^p)(b^q), where c = 1, p = 5/6, and q = 1/2