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If N=9^(9), then N is divisible by how m...

If `N=9^(9)`, then N is divisible by how many positive perfect cubes ?

A

6

B

7

C

4

D

5

Text Solution

Verified by Experts

The correct Answer is:
B
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KIRAN PUBLICATION-POWER, INDICES AND SURDS-Type -V
  1. 3^(11)+3^(12)+3^(13)+3^(14) is divisible by

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  2. 4^(11)+4^(12)+4^(13)+4^(14) is divisible by

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

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

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

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  6. How many 100 digit positive number are there ?

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

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

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

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

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  11. The square root of 14+6sqrt(5) is

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  12. If (3+2sqrt(5))^(2)=29+ksqrt(5), then what is the value of k?

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  13. What is the unit's digit of 29^(136) ?

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  14. What is the unit's digit of 16^(10) ?

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  15. Find the unit place digit in (194)^(102)+(294)^(103)

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  16. If N=4^(11)+4^(12)+4^(13)+4^(14), then how many positive factors of N ...

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  17. If N=9^(9), then N is divisible by how many positive perfect cubes ?

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  18. Find the unit place digit in the expression (159)^(144)+(123)-(110)^(5...

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  19. Calculate the total number of prime factors in the expression : (9)^(1...

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  20. Find the unit place digit in (82)^(102)+(183)^(103)

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