Indices Mistake-2

Algebra Level 5

We know \[a^{m-n}=a^m\div a^n\] But there are some students who claim that \[a^{m-n}=a^m-a^n\] Which is obviously incorrect. But not really, since it is true for some triplets of integers,\(a,m,n\). If \(a\in[0,10]\) and \(m,n\in[1,10]\), find the number of possible triplets.

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