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The value of (x^(q)/x^(r))^(1/(qr)) xx (...

The value of `(x^(q)/x^(r))^(1/(qr)) xx (x^(r)/x^(p))^(1/(rp)) xx (x^(p)/x^(q))^(1/(pq)` is equal to:

A

`x^((1)/(p)+(1)/(q)+(1)/(r))`

B

`0`

C

`x^(pq+qr+rp)`

D

`1`

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Verified by Experts

The correct Answer is:
D
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MTG IIT JEE FOUNDATION-NUMBER SYSTEMS-EXERCISE (Multiple choice Question(Level-1))
  1. Which of the following expressions is same as (1)/((root(3)(2)-1)) ?

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  2. If m=(cab)/(a-b) then b equals

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  3. The value of (x^(q)/x^(r))^(1/(qr)) xx (x^(r)/x^(p))^(1/(rp)) xx (x^(p...

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  4. The value of (root(6)(27)-sqrt(6(3)/(4)))^(2) equals

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  5. The rational number between 1//2 and 1//3 is

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  6. Simplify: (2^(n+4)-2(2^(n)))/(2(2^(n+3)))

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  7. If (a+(1)/(a))^(2)=9, then a^(3)+(1)/(a^(3)) equals

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  8. If both 'a' and 'b' are rational numbers, then 'a' and 'b' from (3-sqr...

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  9. (2sqrt(6))/(sqrt(2)+sqrt(3)+sqrt(5)) equals

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  10. If 25^(x-1)=5^(2x-1)-100, then find the value of x.

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  11. If x=2-sqrt(3), then the values of x^(2)+(1)/(x^(2)) and x^(2)-(1)/(x^...

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  12. 4^(44)+4^(44)+4^(44)+4^(44)=4^x ,t h e nx

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  13. The 100^(th) root of 10^((10^(10))) is

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  14. Which of the following numbers has the terminating decimal representat...

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  15. Which of the following numbers can be represented as non-terminating r...

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  16. If g=t^(2/3)+\ 4t^(-1/2) , what is the value of g when t=64 ?

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  17. if x= 9 + 4sqrt(5) find the value of sqrt(x) - 1/sqrt(x)

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  18. If x=(1)/(sqrt(5)-2), find the value of x^(3)-3x^(2)-5x+3 .

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  19. The smallest rational number by which 1//3 should be multiplied so tha...

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  20. Evaluate : (27)^(-(1)/(3)).(27)^(-(1)/(3))[(27)^((1)/(3))-(27)^((2)/(3...

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