The answer to exercise marked [BB] can be found in the Back of the Book.
For positive integers a and b, define a ~ b if there exist integers n ≥ 1 and m ≥ 1 such that am = bn.
(a) Prove that ~ defines an equivalence relation on N.
(b) Find .
(c) Find the equivalence class of a ∈ N. [Hint: Write a = .
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