Question

How do you simplify `(2h^3j^-3k^4)/(3jk)` and write it using only positive exponents?

Answer 1

`(2h^3k^3)/(3j^4)`

Explanation:

Splitting this we have:`" " 2xxh^3xx1/3xxj^(-3)/jxxk^4/k`

Note that `j^(-3)` is the same as `1/j^3`

and that `k^4` is the same as `kxxk^3`

Putting this back together we have:

`(2h^3)/3xx1/j^3xx1/jxx(cancel(k)xxk^3)/(cancel(k))`

`(2h^3k^3)/(3j^4)`