$10^n = 10^{-6}\times \sqrt{\frac{10^{46}}{0.0001}}$?
10^n = solve sqrt(10^46/0.0001)/10^6, solve for n
Sqrt(10^50) / 10^6 = 10^n
10^25 / 10^6 = 10^n
10^19 = 10^n
n = 19
