Question

How do you simplify `(2n^-2)/(3p^-3)` and write it using only positive exponents?

Answer 1

`(2p^3)/(3n^2)`

Explanation:

Recall: `x^-m = 1/x^m`

Note that the index only applies to the immediate base.

`(2color(red)(n^-2))/(3color(blue)(p^-3))" "larr` p goes up, n goes down

= `(2color(blue)(p^3))/(3color(red)(n^2))" "larr` positive exponents