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Simplify each of the following: (i)\ ((2...

Simplify each of the following: `(i)\ ((243)/(32))^(-4/5)` `(ii)\ (32)^(-3/5)`

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RD SHARMA ENGLISH-EXPONENTS OF REAL NUMBER-All Questions
  1. Evaluate each of the following by removing radical signs and negative ...

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

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

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

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

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

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

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  8. Simplify : ((25)^(3/2)*(243)^(3/5))/((16)^(5/4)*(8)^(4/3))

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

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

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

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

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

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

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

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  16. 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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  17. If x=\ 28^(1/3)\ \ a n d\ y=\ 27^(1/3) find the value of x-y-1/(x^2+x...

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

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  19. If 25^(n-1) + 100 = 5^ (2n-1), find the value of n :

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  20. Solve the equation for x : (i)\ 4^(2x)=1/(32) (ii)\ sqrt((3/5)^(1-...

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