Mistakes give rise to Problems- 12

Algebra Level 4

If you do the following thing in \(\color{Blue}{\textbf{Maths}}\), \[\displaystyle a^{(b^c )} = ( a^b ) ^c \] then it will be a \(\color{Red}{\textbf{Big Mistake !!!}}\)


But for how many triples of integers \(\color{Blue}{(a,b,c)}\) such that \(0\leq a \leq 10\) and \(0 < b,c \leq 10\) , is the above said "False" property seen to be "true" ?


This problem is a part of my set Mistakes Give Rise to Problems.

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