>>2
Right, adding ∞ to your number line is always fun. That can be simplified though:
10^-∞ = 1/10^∞ = 1/∞
And then it depends on whether you define x/∞ to be zero, or a nonzero infinitesimal.
Alternatively, you could say there is no ∞ in your system, in which case there is no such thing as "0.000...1".