Question

How do you simplify `(n^-1)^4/n^4` and write it using only positive exponents?

Answer 1

`1/n^8`

Explanation:

In the same way that `2/3 = 2xx1/3" "` split `" "((n^(-1))^4)/n^4`

`(n^(-1))^4xx1/n^4`

But `" "n^(-1) -> 1/n` so `(n^(-1))^4 =( 1/n)^4 = 1/n^4`

Hence:

`((n^(-1))^4)/n^4" " =" " 1/n^4xx1/n^4" "=" "1/n^8`