Posted by **Perrie** on Friday, June 28, 2013 at 5:41pm.

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**, Friday, June 28, 2013 at 5:57pm
#1.

-2m^2 n^-3 /(mn^-2)^2

-2m^2 n^-3 /(m^2n^-4)

-2m^(2-2) n^(-3+4)

-2n

#2.

(-2pq)^-2 / 2pq^-2

(-2)^-2 p^-2 q^-1 / 2pq^-2

1/8 p^(-2-1) q^(-1+2)

q/8p^3

- Math -
**Steve**, Friday, June 28, 2013 at 5:59pm
Oops.

#2.

(-2pq)^-2 / 2pq^-2

(-2)^-2 p^-2 q^**-2** / 2pq^-2

1/8 p^(-2-1) q^(-2+2)

1/8p^3

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