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

1 Answer
Mar 14, 2018

Answer:

#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#