Which is the simplified form of the expression [(p^2)(q^5)]^-4 • [(p^-4)(q^5)]^-2

1/q^30

Step-by-step explanation:

I took that test on  E d g e n u i t y  and it's correct.

q^-30 or 1/q^30.

Step-by-step explanation:

[(p^2)(q^5)]^-4 • [(p^-4)(q^5)]^-2

=  p^(2*-4) * p^(-4*-2) * q(5*-4) * q^(5*-2)

=  p^-8 * p^8 * q^-20 * q^-10

= p^(-8+8) * q^(-20 + -10)

= p^0 * q^-30

= 1 * q^-30

= q^-30.

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