Question

Simplify $\frac{9^{\frac{1}{3}}\ast {27}^{\frac{-1}{2}}}{3^{\frac{1}{6}}\ast 3^{\frac{-2}{3}}}$

Answer 1

$\frac{3^{\frac{2}{3}}\ast 3^{\frac{-3}{2}}}{3^{\frac{1}{6}}\ast 3^{\frac{-2}{3}}}=\frac{3^{\frac{-5}{6}}}{3^{\frac{-3}{6}}}=3^{\frac{-1}{3}}$