#### Answer

$11^{\frac{5}{6}}$

#### Work Step by Step

Using the laws of exponents, the given expression, $
11^{1/2}\cdot11^{1/3}
,$ simplifies to
\begin{array}{l}\require{cancel}
11^{\frac{1}{2}+\frac{1}{3}}
\\\\=
11^{\frac{3}{6}+\frac{2}{6}}
\\\\=
11^{\frac{5}{6}}
.\end{array}