Question

How do you simplify `7^(1 / 7) / 7^(-13 / 7)` leaving only positive exponents?

Answer 1

`7^2`

Explanation:

The negative exponent in the denominator can be made positive, since `1/(7^(-13/7))=7^(13/7)`.

Hence,

`(7^(1/7))/(7^(-13/7))=7^(1/7)*7^(13/7)`

`=7^((1+13)/7)`

`=7^(14/7)`

`=7^2`