[tex]( \frac{1}{3} - 1)^{7} \div (\frac{6}{9} )^{5} = \\ = ( - \frac{ 2}{3} )^{7} \div \frac{ {6}^{5} }{ {9}^{5} } \\ = - ( \frac{2}{3} )^{7} \div \frac{ {6}^{5} }{( {3}^{2})^{5} } \\ = \frac{ {2}^{7} }{ {3}^{7} } \times \frac{ {3}^{10} }{ {6}^{5} } \\ = - {2}^{7} \times \frac{ {3}^{3} }{ {3}^{5} \times {2}^{5} } \\ = - {2}^{2} \times \frac{ {3}^{3} }{ {3}^{5} } \\ = - {2}^{2} \times \frac{1}{ {3}^{2} } \\ = - 4 \times \frac{1}{9} \\ = - \frac{4}{9} [/tex]
