This is nothing more than a little ditty in my mind. Don't expect a formalization, ever.
Q=10^30
QQ=(10^30)*(10^30)=10^60
QQQ=(10^30)^3=10^90
QQ...QQ (n Qs)=(10^30)^n=10^(30n)
...
Qn can be used to notate the previous line
Q10=QQQQQQQQQQ=10^300
Notation Q(n) can also be used
Q(Q)=10^(3*10^31)
Q(Q(Q))
Q(Q(Q(Q)))
Q:2=Q(Q(...(Q)...)) Q times
Q:3=