[tex]\displaystyle\\
\left(\frac{1}{2}\right)^5 \times \left(\frac{1}{2}\right)^3 : \left(\frac{1}{6}\right)^3=\\\\
=\left(\frac{1}{2}\right)^{5+3} : \left(\frac{1}{6}\right)^3=\\\\
=\left(\frac{1}{2}\right)^{8} : \left(\frac{1}{6}\right)^3=\\\\
=\frac{1}{2^8}:\frac{1}{6^3}=\\\\
=\frac{1}{2^8} \times \frac{6^3}{1}=\\\\
=\frac{6^3}{2^8}=\frac{2^3 \times 3^3}{2^8}=\frac{2^{3-3} \times 3^3}{2^{8-3}}=\boxed{\bf \frac{3^3}{2^5}}[/tex]
