Question 131

The quotient when $$\ 10^{100}\ $$is divided by $$\ 5^{75}\ $$is:

Solution

$$\ 10^{100}\ $$is divided by $$\ 5^{75}\ $$

= $$(2^{100}\times5^{100})\div(5^{75})$$

= $$(2^{100}\times5^{25}\times5^{75})\div(5^{75})$$

= $$2^{100}\times5^{25}$$

= $$2^{75}\times2^{25}\times5^{25}$$

= $$2^{75}\times10^{25}$$

=> Ans - (C)

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