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Math Help - Simplifyimg Radical Expressions

  1. #1
    Ash
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    Simplifyimg Radical Expressions

    I am suppose to simplify. (Write the result with as small an index as possible.) Assuming that each variable is nonnegative.
    How do I go about writing out the steps to solving this problem?
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  2. #2
    GAMMA Mathematics
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    ^6\sqrt{27} = 27^{\frac{1}{6}}
    27^{\frac{1}{6}} = {3^3}^{\frac{1}{6}}
    {3^3}^{\frac{1}{6}} = 3^{\frac{3}{6}}
    3^{\frac{3}{6}} = 3^{\frac{1}{2}}
    3^{\frac{1}{2}} = \sqrt{3}
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