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

1 Answer
Mar 14, 2018

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