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If (1/5)^(3y)=0.008 , then find the valu...

If `(1/5)^(3y)=0.008 ,` then find the value of `(0. 25)^y`.

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RS AGGARWAL-SURDS AND INDICES-All Questions
  1. Find the value of [5(8^(1/3)+27^(1/3))^3]^(1/4) .

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  2. Find the value of {(16)^(3/2)+(16)^(-3/2)}

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  3. If (1/5)^(3y)=0.008 , then find the value of (0. 25)^y.

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  4. Simplify: ((6. 25)^(1/2)xx(0. 0144)^(1/2)+1)/((0. 027)^(1/3)xx(81)^(1/...

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  5. Find the value of (6^(2/3) xx(6^7)^(1/3))/((6^6)^(1/3))

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  6. If (p/q)^(r x-s)=(q/p)^(p x-q) , then find the value of x.

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  7. If x=y^a ,\ y=z^b and z=x^c then find the value of a b c.

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  8. Simplify : ((x^a)/(x^b))^(a^2+b^2+ab)xx((x^b)/(x^c))^(b^2+c^2+bc)xx((x...

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  9. If 8^x * 2^y=512\ and\ 3^(3x+2y)=9^6, then find the value of x and y ?

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  10. Find the largest from among root(4)6,\ sqrt(2)\ and\ root(3)4.

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  11. Find the square root of (3+sqrt(5)) .

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  12. If x=3+2sqrt(2) then find sqrt(x)-1/sqrt(x)

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  13. If 2^x=3^y=6^(-z) find the value of (1/x+1/y+1/z)

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  14. Given t=2+root(3)4+root(3)2, determine the value of t^3-6t^2+6t-2.

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  15. root(3)5 is a surd of the order a. 1/3 b. 1 c. 2 d. 3

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  16. 5^0xx8=? 0 b. 8 c. 40 d. 200

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  17. Which of the following are equal in value? I. 4^1 II. 1^4 III. 4^0 IV....

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  18. If 289=17^(1/5x),\ then\ x=? a. 2/5 b. 8 c. 16 d. 32

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  19. (81)^4-:(9)^5=? 9 b. 81 c. 729 d. 6561

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  20. The value of ((9^2xx18^4)/(3^(16))) is a. 3/2 b. 4/9 c. (16)/(81) d. ...

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