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If ((1/216)^(-2/3))/((1/27)^(-4/3))=x. T...

If `((1/216)^(-2/3))/((1/27)^(-4/3))=x`. The value of x is:

A

`3/4`

B

`4/9`

C

`2/3`

D

`1/8`

Text Solution

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The correct Answer is:
B
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S CHAND IIT JEE FOUNDATION-EXPONENTS -QUESTION BANK
  1. If ((1/216)^(-2/3))/((1/27)^(-4/3))=x. The value of x is:

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  2. If sqrt(3^(n)) = 81. Then, n is equal to:

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  3. (64)^(-2/3) xx (1/4)^(-3) equals:

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  4. 1/(216)^(-2/3) + 1/(256)^(-3/4) + 1/(243)^(-1/5) is equal to:

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  5. (4)^(0.5) xx (0.5)^(4) is equal to:

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  6. (1/64)^(0)+(64)^(-1/2)+(32)^(4/5)-(32)^(-4/5)=?

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  7. Simplify: [(2 10/27))^(-2/3) ÷ (11 1/9))^(-0.5)] +[(6.25)^(0.5) ÷ (-4)...

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  8. Simplify: ((6.25)^(1/2) xx (0.0144)^(1/2)+ 1)/((0.027)^(1/3)xx (81)^(1...

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  9. 4^(3.5) : 2^(5) is the same as:

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  10. Simplify: [root(3)(root(6)(5^(9)))]^(8)[root(6)(root(3)(5^(9)))]^(8)

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  11. The value of ((243)^(n/5). 3^(2n+1))/(9^(n).3^(n-1)) is:

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  12. If x^(xsqrt(x))=(xsqrt(x))^(x), then x is equal to:

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  13. [1-[1-(1-a^(4))^(-1)]^(-1)]^(-1/4) is equal to:

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  14. If 64^(a) =1/(256)^(b), then 3a + 4b equals

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  15. If a=b^(2/3) and b =c^(2), what is the value of a in terms of c?

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

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

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

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

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

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