# Mistakes give rise to Problems- 12

Algebra Level 5

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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