# Math Help - Simplifyimg Radical Expressions

1. ## 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?

2. $^6\sqrt{27} = 27^{\frac{1}{6}}$
$27^{\frac{1}{6}} = {3^3}^{\frac{1}{6}}$
${3^3}^{\frac{1}{6}} = 3^{\frac{3}{6}}$
$3^{\frac{3}{6}} = 3^{\frac{1}{2}}$
$3^{\frac{1}{2}} = \sqrt{3}$