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Evaluate the following. (i) fifth root...

Evaluate the following.
(i) fifth root of `243`
(ii) Seventh root of `(0.0000128)`

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Verified by Experts

The correct Answer is:
`0.2`
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PEARSON IIT JEE FOUNDATION-INDICES-Test Your Concepts (Short Answer Type Questions)
  1. Simplify : p^(n+1)xxp^(2n+1)xxp^(3-n)

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  2. Evaluate the following. (i) fifth root of 243 (ii) Seventh root of...

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  3. Evaluate the following. (i) fifth root of 243 (ii) Seventh root of...

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  4. Simplify ((q^(3-7)qxxq^(6-2q))/(q^(2q)xxq^(9-2q)))^(1/9).

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  5. If sqrt(2)=1.414, sqrt(3)=1.732 and sqrt(5)=2.236, find the values of ...

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  6. If sqrt(2)=1.414, sqrt(3)=1.732 and sqrt(5)=2.236, find the values of ...

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  7. If sqrt(2)=1.414, sqrt(3)=1.732 and sqrt(5)=2.236, find the values of ...

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  8. If sqrt(2)=1.414, sqrt(3)=1.732 and sqrt(5)=2.236, find the values of ...

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  9. If 21168=x^(4)xxy^(3)xxz^(2), find (x+y+z)^((y+z)/(x+y)), where x, y a...

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  10. Simplify (5(81)^(n+1)-3^(4n+5))/(3xx3^(4n)+(81)^n).

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  11. (1) If 5^(n+2)=625 ,f i n d[(n+3)]^(1/3): (2) If (32/243)^n=8/27 ,f i...

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  12. If ((32)/(243))^(n)= (8)/(27), then find ((n+0.4)/(1024))^(-n)

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  13. simplify (2^(2/3)-2^(- 2/3))(2^(4/3)+1+2^(- 4/3))

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  14. (i) Simplify (2^(2/3)-2^((-2)/3))(2^(4/3)+1+2^((-4)/3)) (ii) [(root(...

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  15. If 16200=2^(a)xx3^(b)xx^(c), then find a, b, c.

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  16. Simplify ((p^(a))/(p^(b))) xx ((p^(b))/(p^(c ))) xx ((p^(c ))/(p^(a)))...

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  17. If [root(9)((2/3)^5)]^(sqrt(x-5)) = a^0, find the value of x.

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  18. Simplify ((p^(a+b))^(5).(p^(b+c))^(5).(p^(c+a))^(5))/((p^(a). p^(b). p...

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  19. If 5^(3x+2)=25xx5^((4x-1)), find the value of x.

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  20. Which of the following is greater between each of the two numbers ? ...

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