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\frac{1}{6^{\frac{1}{3}}}
Rewrite 6 as 6^{\frac{2}{3}}\times 6^{\frac{1}{3}}. Cancel out 6^{\frac{2}{3}} in both numerator and denominator.
\frac{1}{\sqrt[3]{6}}
Use the rules of exponents to simplify the expression.