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If 5sqrt(5) xx 5^(3) /5^(-3/2) = 5^(a +2...

If `5sqrt(5) xx 5^(3) /5^(-3/2) = 5^(a +2)` then the value of a is

A

4

B

5

C

6

D

8

Text Solution

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The correct Answer is:
A
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S CHAND IIT JEE FOUNDATION-EXPONENTS -QUESTION BANK
  1. If a=b^(2/3) and b =c^(2), what is the value of a in terms of c?

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  2. The value of (5.(25)^(n+1) + 25.(5)^(2n-1))/(25.(5)^(2n) -105(25)^(n-1...

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  3. If 5sqrt(5) xx 5^(3) /5^(-3/2) = 5^(a +2) then the value of a is

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  4. What is the expression (x+y)^(-1) (x^(-1) +y^(-1)) (xy^(-1) +x^(-1)y)^...

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  5. If 2^(x) - 2^(x-1)=4, then what is the value of 2^(x) + 2^(x-1) ?

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  6. If x=y^(z), y = z^(x) and z=x^(y), then

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  7. Prove that: 1/(1+x^(b-a)+\ x^(c-a))+1/(1+x^(a-b)+\ x^(c-b))+1/(1+x^(b-...

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  8. Find the value of x if [3^(2x-2) +10] // 13=7

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  9. Prove that: (2^(1/2)\ x\ 3^(1/3)\ x\ 4^(1/4))/(10^(-1/5)\ x\ 5^(3/5))\...

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  10. x^((a+b-c)/((a-c)(b-c))) . x^((b+c-a)/((b-a)(c-a))) . x^((c+a-b)/((c-b...

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

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  12. The largest number among the following is:

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  13. If 6^(x) -36=7740, then x^(x) =

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  14. The value of: (9^(x)(9^(x-1)))^(x)/(9^(x+1).3^(2x-2)){(729^(x/3))/8...

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  15. Find the value of (2^(1//4)- 1) (2^(3//4) + 2^(1//2) +2^(1//4) + 1)

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  16. Simplify: (a^(1/2) +a^(-1/2))/(1-a) + (1-a^(-1/2))/(1-sqrt(a))

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  17. If 3^(x+y) =81 and 81^(x-y) = 3, then the value of x and y are:

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  18. Find x, If 8^(x-2) xx (1/2)^(4-3x) = (0.0625)^(x)

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  19. Find the value of the expression ((x^(a+b))^2xx (x^(b+c))^2xx(x^(c+a))...

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  20. If (2.4)^(x) =(0.24)^(y) =10^(z), then show that 1/x - 1/z =1/y

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