Question

How do you simplify `(5x^-4)/x^-9` and write it using only positive exponents?

Answer 1

`(5x^-4)/x^-9=5x^5`

Explanation:

A law for exponential division

`a^m/a^n=a^(m-n)`

So

`(5x^-4)/x^-9=5xx x^-4/x^-9=5xx x^(-4--9)=5x^5`