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Find all the values of following . (-3...

Find all the values of following .
`(-32)^(1//5)`

Text Solution

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The correct Answer is:
`2cis(2k+1)(pi)/(5),k=0,1,2,3,4`
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AAKASH SERIES-DEMOIVRE'S THEOREM-EXERCISE - 6 (SHORT ANSWER QUESTIONS)
  1. Find all the values of following . (-i)^(1//6)

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  2. Find all the values of following . (-16)^(1//4)

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  3. Find all the values of following . (-32)^(1//5)

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  4. Find all the values of the following (sqrt3+i)^(1//4)

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  5. Find all the values of following . (1 - I sqrt3)^(1//3)

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  6. Find all the values of following . (1 + i)^(2//3)

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  7. If 1 , omega , omega^(2) are the cube roots of unity, then prove that ...

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  8. If 1 , omega , omega^(2) are the cube roots of unity prove that (...

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  9. If 1 , omega , omega^(2) are the cube roots of unity, then prove that ...

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  10. If 1 , omega , omega^(2) are the cube roots of unity prove that (a...

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  11. If 1 , omega , omega^(2) are the cube roots of unity prove that x^...

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  12. If 1 , omega , omega^(2) are the cube roots of unity , then find the ...

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  13. If 1 , omega , omega^(2) are the cube roots of unity , then find the ...

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  14. If 1 , omega , omega^(2) are the cube roots of unity , then find the ...

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  15. If 1 , omega , omega^(2) are the cube roots of unity , then find the ...

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  16. If 1 , omega , omega^(2) are the cube roots of unity , then find the ...

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  17. If 1 , omega , omega^(2) are the cube roots of unity , then find the ...

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  18. Prove that - omega, " and " - omega^(2) are the roots of z6(2) - z...

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  19. If alpha, beta are the roots of the equation x^(2) + x + 1 = 0 then ...

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  20. If the cube roots of unity are 1,omega,omega^(2) then the roots of the...

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