# 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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