This is LaTeX code:

[latex]
 
5^{\omega\cdot 5}\cdot 5 = 5^{(\omega + \omega + \omega + \omega + \omega )}\cdot 5 = (5^{\omega}\cdot 5^{\omega}\cdot 5^{\omega}\cdot 5^{\omega}\cdot 5^{\omega})\cdot 5 = \omega\cdot\omega\cdot\omega\cdot\omega\cdot\omega\cdot 5 = {\omega}^5 \cdot 5
 
[/latex]