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(10)^(24)xx(10)^(-21)=? 3 b. 10 c. 100 ...

`(10)^(24)xx(10)^(-21)=?` `3` b. `10` c. `100` d. `1000`

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The following steps are involved in finding the value of 10 (1)/(3) xx 9(2)/(3) by using an appropriate indentity . Arrange them in sequential order . (A) (10)^(2) - ((1)/(3))^(2) = 100 - (1)/(9) (B) 10(1)/(3) xx 9(2)/(3) = (10 + (1)/(3)) (10 - (1)/(3)) (C) (10 + (1)/(3)) (10 - (1)/(3)) = (10)^(2) - ((1)/(3))^(2) [because (a + b) (a -b) = (a^(2) - b^(2))] (D) 100 - (1)/(9) = 99 + 1 - (1)/(9) = 99(8)/(9)

RS AGGARWAL-SURDS AND INDICES-All Questions
  1. (0. 2)^2,1/(100),(0. 01)^(1/2),\ (0. 008)^(1/3)\ Of these which one i...

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  2. Which of the following expression has the greatest value ? [(2^(-1)...

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  3. (10)^(24)xx(10)^(-21)=? 3 b. 10 c. 100 d. 1000

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  4. The value of (256)^(5//4) is a. 512 b. 984 c. 1024 d. 1032

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  5. The value of (sqrt(8))^(1//3) a. 2 b. 8 c. 4 d. sqrt(2)

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  6. The value of (32/243)^(-4//5) is a. 4/9 b. 9/4 c. (16)/(81) d. (81)/(...

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  7. The value of (-1/216)^(-2//3) is a. 36 b. -36 c. 1/(36) d. -1/(36) \

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  8. The value of 27^(-2//3) lies between a. 0 and 1 b. 1 and 2 c. 2 and 3...

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  9. the value of root(3)(2^4sqrt(2^(-5)sqrt(2^6))) is a. 1 b. 2 c. 2^(5//3...

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  10. sqrt(2sqrt(2sqrt(2sqrt(2sqrt(2)))))=? 2^((29)/(31)) b. 2^((31)/(32)) ...

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  11. The value of (0. 03125)^(-2//5) is a. 4 b. 12 c. 9 d. 31.25

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  12. (1/2)^(-1/2) is equal to 1/(sqrt(2)) b. 2sqrt(2) c. -sqrt(2) d. sqrt(2...

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  13. Simplified form of [(root(5)(x^(-3//5)))^(-5//3)]^5 is a. 1/x b. x c. ...

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  14. What will come in place of both the question marks in the following qu...

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  15. The value of 5^(1//4)xx(125)^(0.25) is: a. sqrt(5) b. 5 c. 5sqrt(5) d....

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  16. The value of 1/((216)^(-2//3))+1/((256)^(-3//4))+1/((32)^(-1//5)) is a...

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  17. (2. 4xx10^3)-:(8xx10^(-2))=? 3xx10^(-5) b. 3xx10^4 c. 3xx10^5 d. 30

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  18. (1/216)^(-2//3)-:(1/27)^(-4//3)=? a. 3/4 b. 2/3 c. 4/9 d. 1/8

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  19. (48)^(-2/7)xx(16)^(-5/7)xx(3)^(-5/7)=? 1/3 b. 1/(48) c. 1 d. 48

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  20. If 10^x=1/2, then 10^(-8x)=? a.1/(256) b. 80 c. 16 d. 256

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