Let $A:= \{1,2,3,\dots\}$ and $P := A \times A$. Now define a relation on $R$ on $P\,$ by
$(x,y)R(a,b) \iff x^y = a^b$
1) Determine the equivalence class $[(9,2)]$ of $(9,2)$
Note that I already verify it is indeed an equivalence relation.
But what to do with the points?
$9^2 = 81 = a^b$
Not sure what to do
2) Determine an equivalence class with exactly four elements
Need to do on question 1 first