This is LaTeX code:

[latex]
a^2 b^3 a^{-2}= a^2 b(a^{-2} a^2) b(a^{-2}a^2) ba^{-2}=(a^2 ba^{-2}) (a^2 ba^{-2}) (a^2 ba^{-2})= (a^2ba^{-2})^3
[/latex]