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The quotient when 10100 is divided by 575 is:
Answer & Solution
Correct Answer:
Option
C
$$\eqalign{
& \frac{{{{10}^{100}}}}{{{5^{75}}}} \cr
& = \frac{{{2^{100}} \times {5^{100}}}}{{{5^{75}}}} \cr
& = {2^{100}} \times {5^{25}} \cr
& = {2^{25}} \times {2^{75}} \times {5^{25}} \cr
& = {2^{75}} \times {10^{25}} \cr} $$
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