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

Mar 14, 2018

$\frac{25}{9}$

#### 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:
${\left({\left(\frac{3}{5}\right)}^{-} 1\right)}^{2}$

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:
${\left({\left(\frac{3}{5}\right)}^{-} 1\right)}^{2} = {\left(\frac{5}{3}\right)}^{2}$

Then you need to square the nominator and denominator, to give you:
${\left(\frac{5}{3}\right)}^{2} = \frac{25}{9}$