In order to simplify this expression, we can use the following property:
[tex]a^b\cdot a^c=a^{b+c}[/tex]So we have:
[tex]\begin{gathered} (6w)\cdot(7w) \\ =6\cdot7\cdot w^1\cdot w^1 \\ =42\cdot w^1\cdot w^1 \\ =42\cdot w^{1+1} \\ =42w^2 \end{gathered}[/tex]