Melody

EP has given you a good answer, my answer is the same.

I am just going to give you a couple of examples first to help you understand

Now for you one.  And this is exactly the same as what EP did

I hope EP and I have helped you understand.    

It is no more trivial than our answers.

You have not drawn the diagram but you did use one.

Cutting out steps does not make an answer more simple, it just makes the answer less self-explanatory.

I see you have answered on the other post.

You said you had a trivial solution.

So why did you need to use Hectictar's picture.

Your answer is no more simple than mine or Hectictars.

You have just left out chunks to make it appear shorter.

The final answer is 3/5 and I apologize for contradicting you.

However:

You did not give a solution.

A solution requires working or reasoning and you have not given that.

You pretend that this question is trivial, which it is not.

My method is correct it is just probably not the easiest way to do it.

Hectictar has given a nice solution here:  It starts much as mine does.

Study it and see if you can do the next one by yourself.

Thanks Juriemagic,

Yes I have a passion for helping people to learn.

I am also grateful to you. 

You are a genuine learner, I recognize and truly appreciate that fact.

What rubbish, you do not try and do anything on your own.

You just want asinus to finish spoon-feeding you.

Yes you are right,

I will tweak my answer.

All the factors must be prime  THEN all the indices of these prme factors must by even.

So with your example. 

\(9^9=(3^2)^9=3^{18}\\ \text{18 is even so } 9^9 \text { is a square number}\)