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Homework Help: Surd as power

  1. May 12, 2007 #1
    [tex]8\sqrt{8}[/tex] can be written in the form [tex]8^{k}[/tex]

    Find the value of k

    I'm positive is a really easy question I though that k = 1/8, but that is wrong.
    What is the method to answer this question.. I used trial and error and got k = 3/2, but what is the proper way?

    Thanks
     
  2. jcsd
  3. May 12, 2007 #2

    Hootenanny

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    Well what is a if [itex]\sqrt{8} = 8^{a}[/itex]?

    What is b if [itex]8 = 8^{b}[/itex]?

    What is [itex]8^a\cdot8^b[/itex]?
     
  4. May 12, 2007 #3
    [tex]8^{\frac{2}{2}} x 8^{\frac{1}{2}}[/tex]

    = [tex]8^{\frac{3}{2}}[/tex]

    cheerz
     
  5. May 12, 2007 #4

    Hootenanny

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    Pleasure :smile:
     
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