\[\boxed{\mathbf{553\ (553)}.\ Еуроки\ - \ ДЗ\ без\ мороки}\]
\[1)\ 3^{2} + 4^{2} = 9 + 16 = 25\]
\[2)\ 3^{3} + 2^{3} = 27 + 8 = 35\]
\[3)\ 26^{2} - \left( 12^{2} \cdot 3 + 175 \right) =\]
\[= 676 - (144 \cdot 3 + 175) =\]
\[= 676 - (432 + 175) =\]
\[= 676 - 607 = 69\]
\[4)\ 6^{3} - 2 \cdot 4^{3} - 1^{3} =\]
\[= 36 \cdot 6 - 2 \cdot 16 \cdot 4 - 1 =\]
\[= 216 - 128 - 1 = 87\]
\[5)\ 15^{2}\ :\left( 13^{2} - 124 \right) =\]
\[= 225\ :(169 - 124) =\]
\[= 225\ :45 = 5\]
\[6)\ 8^{3}\ :\left( 4^{2} - 2^{3} \right) =\]
\[= 64 \cdot 8\ :(16 - 8) =\]
\[= 64 \cdot 8\ :8 = 64 \cdot 1 = 64\]