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Exponents/radicals question

  1. Mar 7, 2010 #1
    1. The problem statement, all variables and given/known data

    Please help me understand how (v/pi)(2pi/v)2/3 equals 2(v/2pi)1/3

    This is from my book.


    3. The attempt at a solution

    [(v)(22/3)(pi2/3)]/v2/3pi = 22/3(v/pi)1/3

    What am I doing wrong? Thanks.

    EDIT: I made a mistake in copying over my attempt; fixed now.
     
    Last edited: Mar 7, 2010
  2. jcsd
  3. Mar 7, 2010 #2
    I'm beginning to think that my book is wrong and that my attempt is correct. Can anyone confirm?
     
  4. Mar 8, 2010 #3

    Mentallic

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    You are both correct :wink:
     
  5. Mar 8, 2010 #4
    I don't see how 22/3(v/pi)1/3 = 2(v/2pi)1/3 Can you explain?
     
    Last edited: Mar 8, 2010
  6. Mar 8, 2010 #5

    Mentallic

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    [tex]2^{2/3}=2^{1-1/3}[/tex]

    does it seem obvious now?
     
  7. Mar 8, 2010 #6
    Yes--I see it now. Thanks, Mentallic.
     
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