So my final answers were:
(3t - 2t^(-1)) / t^3
= 3t / t^3 - 2t^(-1)/t^3
= 3t^(1-3) - 2t^(-1-3)
= 3t^(-2) - 2t^(-4)
= (3/t^2) - (2/t^4)
= (3t^2 - 2)/t^4
Is that correct?
(3p^2 - p^(-3))/p^4
= 3p^(2-4) - p^(-3-4)
= 3p^(-2) - p^(-7)
= (3/p^2) - (1/p^7)
= (3p^5 - 1) / p^7
Is that correct?