$$\begin{gathered} \left(1-\mathrm{\omega }\right)\left(1-{\mathrm{\omega }}^2\right)\left(1-{\mathrm{\omega }}^4\right) \\ \left(1-{\mathrm{\omega }}^5\right)\left(1-{\mathrm{\omega }}^7\right)\left(1-{\mathrm{\omega }}^8\right)= \end{gathered}$$

$\begin{array}{rcl} & & (1-\mathrm{w}) (1-{\mathrm{w}}^2) (1-{\mathrm{w}}^4) (1-{\mathrm{w}}^5) (1-{\mathrm{w}}^7) (1-{\mathrm{w}}^8)\\ {\mathrm{w}}^4& =& {\mathrm{w}}^3·\mathrm{w}=\mathrm{w}, {\mathrm{w}}^5={\mathrm{w}}^3·{\mathrm{w}}^2={\mathrm{w}}^2, {\mathrm{w}}^7={\mathrm{w}}^6·\mathrm{w}=\mathrm{w}, {\mathrm{w}}^8={\mathrm{w}}^6·{\mathrm{w}}^2={\mathrm{w}}^2\\ & & (1-\mathrm{w}) (1-{\mathrm{w}}^2) (1-\mathrm{w}) (1-{\mathrm{w}}^2) (1-\mathrm{w}) (1-{\mathrm{w}}^2)\\ & =& {\left((1-\mathrm{w}) (1-{\mathrm{w}}^2)\right)}^3\\ & =& {\left(1-{\mathrm{w}}^2-\mathrm{w}+{\mathrm{w}}^3\right)}^3\\ & =& {\left(2-\left(\mathrm{w}+{\mathrm{w}}^2\right)\right)}^3\\ & =& {\left(2-(-1)\right)}^3=3^3=27\end{array}$