Degrees of operations in algebra

[Time And Space]

We know that by adding 3 by 3 times

3+3+3 or 3*3=9

We also know that by multiplying 3 by 3 times

3*3*3 or 3^3=27

what will be next level?

3^(3^3) or (3^3)^3 or what?

this was upper level of ^ which we dont know?

Now can you tell me Lower level of +

Because

upper level of + is * and upper level of * is ^

Lower level of ^ is * and lower level of * is +

'-----

Is upper level of ^ is superpower

Is Lower level of + is subplus

'------

Although we know that there is nothing in maths like this but can you please have knowledge!!!

Solve This complex complexity

[imatfaal]

http://www.scienceforums.net/topic/56741-iterated-exponentiation/?hl=tower#entry603818

 

You might find this thread interesting in which Shadow and Xitten try to explain to a particularly dense member the ideas behind iterated exponentiation and tetration. We seem to have lost the posted image which is a shame. But Shadows's posts and his link are well worth reading.

And this seriously hardcore thread from Daedalus

 

http://www.scienceforums.net/topic/61237-discoveries-by-daedalus/?hl=tetration