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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)\ (64)^(1/3)` (ii) `(125)^(-1/3)` `(iii)\ (27)^(-2/3)` (iv) `((64)/(25))^(-3/2)`

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

Evaluate each of the following removing radical sign and negative indices wherever they occur (i) (64)^(1/3) (ii) (125)^(-1/3) (iii) (27)^(-2/3) (iv) (64/25)^(-3/2) (v) (-1/2)^(-5) (vi) (1/4)^(-1) (vii) 5^(-2)

Simplify each of the following by removing radical signs and negative indices wherever they occur: (i)\ (sqrt(4))^(-7)\ xx\ \ (sqrt(2))^(-5)

Simplify each of the following by removing radical signs and negative indices wherever they occur: (i)\ (sqrt(4))^(-3/4) (ii)\ (sqrt(5))^(-3)\ xx\ (sqrt(2))^(-3) (iii)1/(4^(-5)3)

Find: (i) 64^(1/2) (ii) 32^(1/5) (iii) 125^(1/3)

Evaluate : (i) 5^(-2) (ii) (-3)^(-2) (iii) (1/4)^(-1) (iv) ((-1)/2)^(-1)

Find the derivative (i) x^(1//3) (ii) (2)/(x^(3//2)) (iii) 3x^(-1//4)

Find : (i) 9^(3/2) (ii) 32^(2/5) (iii) 16^(3/4) (iv) 125^((-1)/3)

Express each of the following rational numbers with a negative exponent : (i) (1/4)^3 (ii) 3^5 (iii) (3/5)^4

Express each of the following as a rational number of the form p/q : (i) 5^(-3) (ii) (-2)^(-5) (iii) (4/3)^(-3) (iv) ((-2)/5)^(-4) (v) 1/(2^(-3))

RD SHARMA ENGLISH-EXPONENTS OF REAL NUMBER-All Questions
  1. Find the value of : ((32)/(243))^(1/5)

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  2. Find the value of: (1/(64))^(1/6)

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

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

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

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

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  7. [{(625)^(-1/4)}^(-1/2)]^2

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

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

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

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

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

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

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

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

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

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  19. 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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  20. 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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