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(1/64)^(0)+(64)^(-1/2)+(32)^(4/5)-(32)^(...

`(1/64)^(0)+(64)^(-1/2)+(32)^(4/5)-(32)^(-4/5)=?`

A

`16(1/8)`

B

`17(1/8)`

C

`17(1/16)`

D

`-17(1/16)`

Text Solution

Verified by Experts

The correct Answer is:
C
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(1/64)^0+(64)^(-1//2) - (32)^(4//5) is equal to

Evaluate (i) (32)^((1)/(5)) +(-7)^(0) + (64)^((1)/(2)) (ii) (0.00032)^(-(2)/(3)) (iii) ((64)/(125))^(-(2)/(3)) .

simplify (i) (1^(3)+2^(3)+3^(3))^(1/2) (ii) (3/5)^(4)(8/5)^(-12)(32/5)^(6) ,(iii) (1/27)^(-2/3) (vi) [((625)^(-1/2)))^(-1/4)]^(2) ,(v) (9^(1/3)xx27^(-1/2))/(3^(1/6)xx3^(-2/3)) (vi) 64^(-1/3)[64^(1/3)-64^(2/3)] (8^(1/3)xx16^(1/3))/(32^(-1/3)

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

64^(2/3)xx64^(1/3)xx64^((-5)/3)

The value of:- (i) 64^(1/2) (ii) 32^(1/5) (iii) 125^(1/3) .

The value of:- (i) 64^(1/2) (ii) 32^(1/5) (iii) 125^(1/3) .

Find the value of:- (i) 64^(1/2) (ii) 32^(1/5) (iii) 125^(1/3) .

1+(3+1)(3^(2)+1)(3^(4)+1)(3^(8)+1)(3^(16)+1)(3^(32)+1) is equal to (3^(64)-1)/(2) b.(3^(64)+1)/(2) c.3^(64)-1 d.3^(64)+1

Prove that . (i) [8^(-(2)/(3)) xx 2^((1)/(2))xx 25^(-(5)/(4))] div[32^(-(2)/(5)) xx 125 ^(-(5)/(6)) ] = sqrt(2) (ii) ((64)/(125))^(-(2)/(3)) = (1)/(((256)/(625))^((1)/(4)))+ (sqrt(25))/(root3(64)) = (65)/(16) (iii) [7{(81)^((1)/(4)) +(256)^((1)/(4))}^((1)/(4))]^(4) = 16807 .

S CHAND IIT JEE FOUNDATION-EXPONENTS -QUESTION BANK
  1. 1/(216)^(-2/3) + 1/(256)^(-3/4) + 1/(243)^(-1/5) is equal to:

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  2. (4)^(0.5) xx (0.5)^(4) is equal to:

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  3. (1/64)^(0)+(64)^(-1/2)+(32)^(4/5)-(32)^(-4/5)=?

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  4. Simplify: [(2 10/27))^(-2/3) ÷ (11 1/9))^(-0.5)] +[(6.25)^(0.5) ÷ (-4)...

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  5. Simplify: ((6.25)^(1/2) xx (0.0144)^(1/2)+ 1)/((0.027)^(1/3)xx (81)^(1...

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  6. 4^(3.5) : 2^(5) is the same as:

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  7. Simplify: [root(3)(root(6)(5^(9)))]^(8)[root(6)(root(3)(5^(9)))]^(8)

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  8. The value of ((243)^(n/5). 3^(2n+1))/(9^(n).3^(n-1)) is:

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  9. If x^(xsqrt(x))=(xsqrt(x))^(x), then x is equal to:

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  10. [1-[1-(1-a^(4))^(-1)]^(-1)]^(-1/4) is equal to:

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  11. If 64^(a) =1/(256)^(b), then 3a + 4b equals

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  12. If a=b^(2/3) and b =c^(2), what is the value of a in terms of c?

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  13. The value of (5.(25)^(n+1) + 25.(5)^(2n-1))/(25.(5)^(2n) -105(25)^(n-1...

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  14. If 5sqrt(5) xx 5^(3) /5^(-3/2) = 5^(a +2) then the value of a is

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  15. What is the expression (x+y)^(-1) (x^(-1) +y^(-1)) (xy^(-1) +x^(-1)y)^...

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  16. If 2^(x) - 2^(x-1)=4, then what is the value of 2^(x) + 2^(x-1) ?

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  17. If x=y^(z), y = z^(x) and z=x^(y), then

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  18. Prove that: 1/(1+x^(b-a)+\ x^(c-a))+1/(1+x^(a-b)+\ x^(c-b))+1/(1+x^(b-...

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  19. Find the value of x if [3^(2x-2) +10] // 13=7

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  20. Prove that: (2^(1/2)\ x\ 3^(1/3)\ x\ 4^(1/4))/(10^(-1/5)\ x\ 5^(3/5))\...

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