\[\boxed{\text{545\ (545).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[\textbf{а)}\ \left( x^{3} \right)^{2} \cdot \left( - x^{3} \right)^{4} = x^{6} \cdot x^{12} =\]
\[= x^{6 + 12} = x^{18}\]
\[\textbf{б)}\ \left( - y^{3} \right)^{7} \cdot \left( - y^{4} \right)^{5} =\]
\[= - y^{21} \cdot \left( - y^{20} \right) = y^{21 + 20} = y^{41}\]
\[\textbf{в)}\ \left( x^{7} \right)^{5} \cdot \left( - x^{2} \right)^{6} = x^{35} \cdot x^{12} =\]
\[= x^{35 + 12} = x^{47}\]
\[\textbf{г)}\ \left( - c^{9} \right)^{4} \cdot \left( c^{5} \right)^{2} = c^{36} \cdot c^{10} =\]
\[= c^{36 + 10} = c^{46}\ \]