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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- Dec 6th 2007, 10:45 AMAshSimplifyimg 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?

http://i224.photobucket.com/albums/d..._Ford/math.jpg - Dec 6th 2007, 10:55 AMcolby2152
$\displaystyle ^6\sqrt{27} = 27^{\frac{1}{6}}$

$\displaystyle 27^{\frac{1}{6}} = {3^3}^{\frac{1}{6}}$

$\displaystyle {3^3}^{\frac{1}{6}} = 3^{\frac{3}{6}}$

$\displaystyle 3^{\frac{3}{6}} = 3^{\frac{1}{2}}$

$\displaystyle 3^{\frac{1}{2}} = \sqrt{3}$