Question

How do you simplify `(3/5)^-2`?

Answer 1

`25/9`

Explanation:

You can expand this question to make it easier to think about. You can split the index into 2 parts, the (-1) and the 2. Therefore the question would be:
`((3/5)^-1 )^2`

You can then do each bracket individually. The (-1) means you should flip the fraction so the nominator is the new denominator and the denominator is the new nominator:
`((3/5)^-1 )^2 = (5/3)^2`

Then you need to square the nominator and denominator, to give you:
`(5/3)^2 = 25/9`