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The quotient when 10^(100) is divided by...

The quotient when `10^(100)` is divided by `5^(75)` is

A

`2^(25)xx10^(75)`

B

`10^(25)`

C

`2^(75)`

D

`2^(75)xx10^(25)`

Text Solution

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The correct Answer is:
D
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KIRAN PUBLICATION-POWER, INDICES AND SURDS-Type -V
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  2. The exponential form of sqrt(sqrt(2)xxsqrt(3)) is

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  3. The quotient when 10^(100) is divided by 5^(75) is

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  4. If m^(n)=169 what is the value of (m+1)^((n-1)) ?

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  5. If a=b^(p), b=c^(q), c=c^(r ) then pqr is

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  6. Which of the following numbers is not a factor of 5^(p)7^(q) (p ne 0, ...

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  7. What will be the remainder when 252^(126)+244^(152) is divided by 10 ?

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  8. If 4^((x+y))=256 and (256)^((x-y))=4, what are the value of x and y ?

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  9. The unit's digit of the number 6^(256)-4^(256) is

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  10. What is the value of positive square root of (69+28sqrt(5)) ?

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  11. 3^(11)+3^(12)+3^(13)+3^(14) is divisible by

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  12. 4^(11)+4^(12)+4^(13)+4^(14) is divisible by

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  13. What is the unit's digit of 125^(125)+216^(216) ?

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  14. Which value among 3^(200), 2^(300) and 7^(100) is the largest ?

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  15. If ((x)/(y))^(5a-3)=((y)/(x))^(17-3a), what is the value of a ?

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  16. How many 100 digit positive number are there ?

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  17. What is the unit digit of (217)^(413)xx(819)^(547)xx(414)^(624)xx(342)...

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  18. Find the value of {(49)^((3)/(2))+(49)^(-(3)/(2))}

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  19. Calculate the total number of prime factors in the expression : (4)^(1...

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