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

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

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Prove that: (i)\ sqrt(1/4)+\ (0. 01)^(-1/2)-\ (27)^(2/3)=3/2 (ii)\ (2^n+\ 2^(n-1))/(2^(n+1)-2^n)=3/2

Evaluate each of the following : (i){(81)^(1//5)}^(5//2)" "(ii)(3sqrt(64))^(-2)" "(iii)9^(3//2)+3xx4^(0)-((1)/(81))^(-1//2) (vi)sqrt((1)/(9))+(0.01)^(-1//2)-(27)^(4//3)" "(v)((125)/(64))^(2//3)+((256)/(625))^(-1//4)

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Evaluate: sqrt(( 1)/(4)) + (0.01) ^(-(1)/(2)) xx (5) - (27)^((2)/(3))

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RD SHARMA ENGLISH-EXPONENTS OF REAL NUMBER-All Questions
  1. Simplify: (256)^-(4^(((-3)/2)))

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

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

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

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

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

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

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

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

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

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

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  12. 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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  13. 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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  14. If x=3,\ find the value of (x^(1/3)+\ x^(-1/3))\ (x^(2/3)+x^(-2/3)-1\...

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

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

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  17. Solve the equation for x : (5^0+2/3)^2 =(0. 6)^(3-2x)

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  18. Solve the equation for x : 2^3(5^0+3^(2x))=\ 8 8/(27)

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  19. Solve the equation: 3(2^x+1)-2^(x+2)+5=0

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  20. Solve the equations for x\ a n d\ y: 3^x=9\ xx\ 3^y ,\ 8\ xx\ 2^y=4^x

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