Posted by
Perrie on
.
Hi! How do you simplify the following using the laws of exponents?
1. 2m^2 n^3 /(mn^2)^2
2. (2pq)^2 / 2pq^2
For number 1, I don't have any idea but for number 2, I arrived at 1/2p. Is that right? Thanks much in advance.

Math 
Steve,
#1.
2m^2 n^3 /(mn^2)^2
2m^2 n^3 /(m^2n^4)
2m^(22) n^(3+4)
2n
#2.
(2pq)^2 / 2pq^2
(2)^2 p^2 q^1 / 2pq^2
1/8 p^(21) q^(1+2)
q/8p^3

Math 
Steve,
Oops.
#2.
(2pq)^2 / 2pq^2
(2)^2 p^2 q^2 / 2pq^2
1/8 p^(21) q^(2+2)
1/8p^3