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If a and b are positive integers such th...

If a and b are positive integers such that `a^(b)=125`, then `(a-b)^(a+b-4)` is equal to

A

16

B

25

C

28

D

30

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The correct Answer is:
A
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S CHAND IIT JEE FOUNDATION-POWERS AND ROOTS -SECTION-A (QUESTION BANK-5(A))
  1. If (p/q)^(r x-s)=(q/p)^(p x-q) , then find the value of xdot

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  2. If (ab^(-1))^(2x-1)=(ba^(-1))^(x-2) then what is the value of x?

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  3. ((2^(m))/(2^(n)))^(t)xx((2^(n))/(2^(t)))^(m)xx((2^(t))/(2^(m)))^(n) is...

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  4. Find the value of x when 4^(2x)=(1)/(32)

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  5. If 2^(x+4)-2^(x+2)=3, then x is equal to

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  6. [1-2(1-2)^(-1)]^(-1)

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  7. In the expression (2^(x)+1)/((7)^(-1)+(2)^(-1))=14, the value of x is

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  8. If m^(n).n^(m)=800, then the value of (n)/(m) is (m < n)

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  9. If a^(2x+2)=1, where a is a positive real number other than 1, then x ...

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  10. If 3^(x)-3^(x-1)=18, then x^(x) is equal to

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  11. If x^(11)=y^(0) and x=2y, then y is equal to

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  12. The value of ((5)^(0.25)xx(125)^(0.25))/((256)^(0.10)xx(256)^(0.15)) i...

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  13. [3^(2^(3))-(3^(2))^(3)] is equal to

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  14. If x^y=y^x , then (x/y)^(x/y) is equal to x^(y/x) b. x^(y/x-1) c. 1 d....

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  15. If a and b are positive integers such that a^(b)=125, then (a-b)^(a+b-...

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  16. Find the value of ((243)^(0.13) xx (243)^(0.07))/((7)^(0.25) xx (49...

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

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

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  19. Prove that 1/(1+p+q^(- 1))+1/(1+q+r^(- 1))+1/(1+r+p^(- 1))=1,if pqr=1 ...

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  20. यदि a, b, c धनात्मक वास्तविक संख्याएँ हैं, तो sqrt(a^(-1)b)xxsqrt(b^(-...

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