Mistakes give rise to Problems- 12

Algebra Level 5

If you do the following thing in Maths\color{#3D99F6}{\textbf{Maths}}, a(bc)=(ab)c\displaystyle a^{(b^c )} = ( a^b ) ^c then it will be a Big Mistake !!!\color{#D61F06}{\textbf{Big Mistake !!!}}


But for how many triples of integers (a,b,c)\color{#3D99F6}{(a,b,c)} such that 0a100\leq a \leq 10 and 0<b,c100 < 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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