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Evaluate each of the following by removi...

Evaluate each of the following by removing radical signs and negative indices wherever they occur:
(i) `(27)^((-3)/2)` (ii) `((64)/(25))^((-3)/2)`

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RD SHARMA-EXPONENTS OF REAL NUMBER-All Questions
  1. Find the value of: (1/(64))^(1/6)

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  2. Evaluate each of the following (i) (64)^(1/3) (ii)(125)^((-1)/3) (ii...

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  3. Evaluate each of the following by removing radical signs and negative ...

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  4. Simplify each of the following: (i)\ (625)^(-1/4) (ii)\ ((256)/(81))^(...

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  5. Simplify each of the following: (i)\ ((243)/(32))^(-4/5) (ii)\ (32...

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  6. [{(625)^(-1/4)}^(-1/2)]^2

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  7. Simplify: (256)^-(4^(((-3)/2)))

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  8. Simplify: 4/((216)^(-2/3))+1/((256)^(-3/4))+2/((243)^(-1/5))

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  9. Simplify: sqrt(1/4)+(0. 01)^(-1/2)-(27)^(2/3)

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  10. Simplify ((25)^(3/2)xx(243)^(3/5))/((16)^(5/4)xx(8)^(4/3)) (16xx 2^(n...

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  11. Simplify: ((81)/(16))^(-3/4)xx[((25)/9)^((-3)/2)-:(5/2)^(-3)]

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  12. Simplify each of the following by removing radical signs and negative ...

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  13. Simplify each of the following by removing radical signs and negative ...

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  14. Assuming that x , y , z are positive real numbers, simplify each of th...

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  15. Assuming that x , y , z are positive real numbers, simplify each of th...

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  16. Assuming that x , y , z are positive real numbers, simplify each of th...

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  17. If x , y ,z are positive real numbers show that: sqrt(x^(-1)y)dotsqrt(...

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  18. If ((x^(-1)y^2)/(x^3y^(-2)))^1.\ ((x^6\ y^(-3))/(x^2\ y^3))^(1/2)=x^a ...

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  19. If x= 28^(1/3) and y= 27^(1/3) find the value of x+y-1/(x^2+x y+y^2)

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  20. If x=3,\ find the value of (x^(1/3)+\ x^(-1/3))\ (x^(2/3)+x^(-2/3)-1\...

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