The quotient when 10¹⁰⁰ is divided by 5⁷⁵ is:

Solution (By Examveda Team)

$$\eqalign{ & \frac{{{{10}^{100}}}}{{{5^{75}}}} \cr & = \frac{{{2^{100}} \times {5^{100}}}}{{{5^{75}}}} \cr & = {2^{100}} \times {5^{25}} \cr & = {2^{25}} \times {2^{75}} \times {5^{25}} \cr & = {2^{75}} \times {10^{25}} \cr} $$