Home
Class 12
MATHS
Find all the values of following . (-i...

Find all the values of following .
`(-i)^(1//6)`

Text Solution

Verified by Experts

The correct Answer is:
`cis(4k+1)(pi)/(12),k=0,1,2,3,4,5`
Promotional Banner

Topper's Solved these Questions

  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise EXERCISE - 6 (LONG ANSWER QUESTIONS)|21 Videos

  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|7 Videos

  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise EXERCISE - 6 (VERY SHORT ANSWER QUESTIONS)|17 Videos

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Exercise (Level-2)|38 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|62 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

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

Find the values of the following (1+i)^(16)

Find the values of the following : (1 + i)^(16)

Find the values of the following : ( 1 - i)^(8)

AAKASH SERIES-DEMOIVRE'S THEOREM-EXERCISE - 6 (SHORT ANSWER QUESTIONS)
  1. (cos""(pi)/(6)+isin""(pi)/(6))^(1//2)+(cos""(pi)/(6)-isin""(pi)/(6))^(...

    Text Solution

    |

  2. Show that one value of ((1+sin""pi/8+i cos ""pi/8)/(1+sin"" pi/8-i...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |