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How we find x^(p/q)

This is a discussion on How we find x^(p/q) within the CE - Quiz | Puzzles | Mathematics forums, part of the CE : General Discussions category; Any one know how we can find (P/Q)th power of x or how we can find x^ (p/q)...

  1. #1
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    Question How we find x^(p/q)

    Any one know how we can find (P/Q)th power of x or how we can find
    x^ (p/q)

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    Default Re: How we find x^(p/q)

    let x^(p/q)=y
    take log on both sides
    log x^(p/q)=log(y)
    (p/q)*log(x)=logy
    antilog((p/q)*log(x))=y
    I think you want to create a program for this because such values can easily be calculated using scientific calculator
    Am i right?
    Last edited by goyal420; 23rd December 2009 at 05:36 PM.
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    Default Re: How we find x^(p/q)

    You can directly calculate provided the powers are in calculatable range.

    If not you can follow the logarithms and log tables.

    where you will be able to get the details.

    scientific calculator can be used , you can get the values easily.
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    Default Re: How we find x^(p/q)

    i want the result without using logarithm!

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    Default Re: How we find x^(p/q)

    You can also calculate it manually
    you can write
    x^(p/q)=(x^(1/q))^p
    say you want to calculate
    27^(2/3)
    then you can get the result.,by writing like this
    (27^(1/3))^2)

    Now i hope you know how to calculate
    27^(1/3)
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    Default Re: How we find x^(p/q)

    Thanks for all CEans they try to help me, i got an idea with Newton Raphson method, and now i am able to do!

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