\[\boxed{\mathbf{1044\ (1035)}\mathbf{.}\mathbf{\ }Еуроки\ - \ ДЗ\ без\ мороки}\]
\[1)\ (7 - 10)^{3} = ( - 3)^{3} = - 27\]
\[2)\ \left( 6 + ( - 10) \right)\left( 6 - ( - 10) \right) =\]
\[= (6 - 10)(6 + 10) =\]
\[= - 4 \cdot 16 = - 64\]
\[3) - \frac{8}{9} \cdot \left( - \frac{27}{32} \right) + \frac{23}{28} \cdot \left( - \frac{49}{46} \right) =\]
\[= \frac{8 \cdot 27}{9 \cdot 32} - \frac{23 \cdot 49}{28 \cdot 46} = \frac{3}{4} - \frac{7}{8} =\]
\[= \frac{6}{8} - \frac{7}{8} = - \frac{1}{8}\]
\[4)\ (4,5 - 6)\left( 1,8 - ( - 3,4) \right) =\]
\[= - 1,5 \cdot (1,8 + 3,4) =\]
\[= - 1,5 \cdot 5,2 = - 7,8\ \]