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A basic algebra question (no calculator)

  1. Apr 18, 2012 #1
    1. The problem statement, all variables and given/known data

    Simplify 3√-27x^6

    I'm very confused on how to evaluate what -27^(1/3) is without a calculator. I think I'm fine with the other steps. if someone could explain this to me I would really appreciate it.

    3. The attempt at a solution
    = 3√-27x^6
    = (-27x^6)^(1/3)
    = -27^(1/3)x^2
  2. jcsd
  3. Apr 18, 2012 #2
    [itex]-27^\frac{1}{3} = -3^{3*\frac{1}{3}}[/itex]
  4. Apr 18, 2012 #3
    oh I get it now thanks a lot :)
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