Answer:
See below in bold.
Step-by-step explanation:
(pq^3)^ 1/2 / (pq)^-1/2
= p^1/2 q ^3/2 / p^-1/2 q^-1/2
= p^(1/2 - -1/2) q ^(3/2 - - 1/2)
= pq^2
[p^5 / (p^-3 q^-4)]^1/4
= p^5/4 / (p^-3/4 q^-1)
= p^(8/4) q
= p^2q.
[(p^2 q^7) / q^4]^1/2
= (p^2 q^3)^1/2
= pq^3/2.
(p^6 q^3/2)^1/3
= p^(6*1/3) q^(3/2 * 1/3)
= p^2q^1/2.
