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Homework Help: Help with roots problem

  1. Aug 19, 2008 #1
    1. The problem statement, all variables and given/known data

    Without using a calculator, find the solution to

    [tex] \sqrt[3]{0.64 * 10^8}[/tex]

    3. The attempt at a solution

    Well, I figure I want to get everything into powers of 3.

    4^3 = 64, but that leaves 100 as the denominator to get 0.64, which does not play well with ^3.

    I can split 10^8 into 10^3 * 10^3 * 10^2, but I dont see how that helps since I'm left with 10^2.

    I can get to [tex]100 * \sqrt[3]{0.64 * 10^2}[/tex] which does give 400 (the correct answer).

    So, what am I missing here?

    Last edited: Aug 19, 2008
  2. jcsd
  3. Aug 19, 2008 #2
    Re: Roots

    D'oh, finally saw it, sorry.

    0.64 * 10^8 = 64 * 10^6, which makes the whole thing come together :)

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