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Evaluate each of the following removing ...

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)`

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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)

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

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)

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

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

Simplify (i) 2^(2/3). 2^(1/3) (ii) (3^(1/5))^4 (iii) (7^(1/5))/(7^(1/3)) (iv) 13^(1/5). 17^(1/5)

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))

Find the values of :- (1) (8)^(1//3) (2) (64)^(1//2) (3) 4^(5//2) (4) (36)^(3//2) (5) (27)^(2//3)

RD SHARMA ENGLISH-EXPONENTS OF REAL NUMBER-All Questions
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  2. If a=2 and b=3 then find the values of each of the following (i) a^a...

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  3. Evaluate each of the following removing radical sign and negative indi...

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  4. Evaluate each of the following (i) 5^2\xx\ 5^4 (ii) (3^2)^3

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  5. Evaluate each of the following (i)((11)/(12))^3 (ii) (3/4)^(-3)

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  6. Evaluate each of the following: (i)\ (2/(11))^4\ xx\ \ ((11)/3)^2\ xx...

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  7. Evaluate each of the following: (i)\ 2^(55)xx\ 2^(60)-\ 2^(97)xx\ 2^(...

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  8. If a=2 and b=3 , then find the values of each of the following: (a)a^...

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  9. If a=2 and b=3 , then find the values of each of the following: (a)(...

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  10. Simplify the following (i) (3a^4b^3)(18 a^3b^5) (ii) (3a^7b^6)/(1...

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  11. Simplify each of the following: (a)\ (7^n-3\ xx\ 7^(n+1))/(20\ xx\ 7^n...

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  12. If (9^n\ xx\ 3^2\ xx\ (3^(-n/2))^(-2)-\ 27^n)/(3^(3m)\ xx\ 2^3)=1/(27)...

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  13. Assuming that x is a positive real number and a ,\ b ,\ c are rational...

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  14. Assuming that x is a positive real number and a ,\ b ,\ c are rational...

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  15. Assuming that x is a positive real number and a ,\ b ,\ c are rational...

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  16. Assuming that x is a positive real number and a ,\ b ,\ c are rational...

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  17. If x is a positive real number and the exponents are rational numbe...

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  18. If x is a positive real number and the exponents are rational number...

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  19. Show that: (i) (x^(a(b-c)))/(x^(b(a-c)))-:((x^b)/(x^a))^c=1,

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  20. Show that: 1/(1+x^(b-a)+x^(c-a))+1/(1+x^(a-b)+\ x^(c-b))+1/(1+x^(b-c)+...

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