Question

How do you write `(x/3)^-4` with positive exponents?

Answer 1

`(3/x)^4`

Explanation:

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

So, if a fraction is raised to a negative index, the reciprocal of the fraction will have a positive index

This is exactly the law we can apply here.

`(x/3)^-4 = (3/x)^4`

If you wish to write it without brackets it will be.

`3^4/x^4 = 81/x^4`