Simplify (3/5)^-2?

So, you have an exponent, with base 3/5, and power -2.

Integer exponents have a little trick: if negative, it just means when you negate the exponent, you reciprocate the base (flip the fraction) before doing anything more, so:

(3/5)^(-2) == (5/3)^(2)

From here, it's not too bad: a fraction raised to a power can be done in two steps: first, apply the exponent to the numerator (top part of fraction), then denominator. So:

(5/3)^2 == 5^2/3^2 == 25/9

and it can't be simplified much further.

If you've understood, then you can probably also guess you can reciprocate/negate as much as you want, so for example, x^((-1)(-1)(-1)(-1)) == x (because (-1)(-1) == 1, leaving x^(1)(1), leaving x^(1), leaving x), right? Excellent!

=(5/3)^2
=25/9
=2 7/9

(3/5)^-2
= 1/(3/5)^2
= 1/(9/25)
= 1(25/9)
= 25/9

(3/5)^-2

=(5/3)^2
=25/9

it is definately 75

3^(-2)
------
5^(-2)

5²
---
3²

25
---
9