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If 5^a=3125, then the value of 5^(a-3) i...

If `5^a=3125`, then the value of `5^(a-3)` is a. `25` b. `125` c. `625` d. `1625`

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RS AGGARWAL-SURDS AND INDICES-All Questions
  1. (a/b)^(x-1)=(b/a)^(x-3), then the value of x is 1/2 b. 1 c. 7/2 d. 2

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  2. If 2^(2n-1)=1/(8^(n-3)), then the value of n is a. -2 b. 2 c. 0 d. 3

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  3. If 5^a=3125, then the value of 5^(a-3) is a. 25 b. 125 c. 625 d. 1625

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  4. If 5sqrt(5)xx5^3-:5^(-3//2)=5^(a+2), then the value of a is a. 4 b. 5 ...

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  5. If sqrt(2^n)=64 , then the value of n is 2 b. 4 c. 6 d. 12

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  6. If (sqrt(3))^5xx9^2=3^nxx3sqrt(3), then the value of n is a. 2 b. 3 c....

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  7. If (9^n xx 3^5 xx 27^3)/(3 xx (81)^4) = 27, then n equals

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  8. If (9/4)^x xx(8/(27))^(x-1)=2/3, then the value of x is a. 1 b. 2 c. 3...

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  9. If 2^x=root(3)32, then x is equal to a. 5 b. 3 c. 3/5 d. 5/3

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  10. If 2^x xx8^(1//5)=2^(1//5) , then x is equal to a. 1/5 b. -1/5 c. 2/5 ...

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  11. If 5^(x+3)=25^(3x-4), then the value of x is a. 5/(11) b. (11)/5 c. (1...

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  12. The expression [root(3)root(6)(a^9) ]^4[root(6)root(3)(a^9)]^4 is sim...

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  13. (256)^(0. 16)xx(256)^(0. 09)=? 4 b. 16 c. 64 d. 256. 25

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  14. (0. 04)^(-1. 5)=? 25 b. 125 c. 250 d. 625

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  15. (17)^(3. 5)xx(17)^?=17^8\ a. 2. 29 b. 2. 75 c. 4. 25 d. 4. 5

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  16. 6^1.2xx36^?xx30^2.4xx25^1.3=30^5 a. 0.1 b. 0.7 c. 1.4 d. 2.6 e. None o...

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  17. 3^3.5xx21^2xx42^2.5-:2^2.5xx7^3.5=21^? a. 6.5 b. 8 c. 10 d. 12.5 e. No...

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  18. 8^(0. 4)xx4^(1. 6)xx2^(1. 6)=? 48 b. 64 c. 52 d. 76 e. none of these

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  19. 8^7xx2^6-:8^2.4=8^? a. 6.6 b. 8.6 c. 9.6 d. 10.6

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  20. 8^(2. 4)xx2^(3. 7)xx-(16)^(1. 3)=2^? 4. 8 b. 5. 7 c. 3. 2 d. 3. 6 e....

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