Math

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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 -

    #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 -

    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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