Решебник по математике 5 класс Мерзляк ФГОС Заданиt 489

\[\boxed{\ \mathbf{489.}}\]

\[1)\ 10^{2} - 7^{2} =\]

\[= (10 - 7)(10 + 7) = 3 \cdot 17 =\]

\[= 51\]

\[2)\ 5^{3} - 5^{2} = 125 - 25 = 100\]

\[3)\ 42^{2}\ :14 - 4^{2} \cdot 6 =\]

\[= 1764\ :14 - 16 \cdot 6 =\]

\[= 126 - 96 = 30\]

\[4)\ 8^{3}:4^{2} - 2^{3} =\]

\[= 64 \cdot 8\ :16 - 8 =\]

\[= (64\ :16) \cdot 8 - 8 = 4 \cdot 8 - 8 =\]

\[= 32 - 8 = 24\]

\[5)\ 25^{2}\ :\left( 24^{2} + 7^{2} \right) =\]

\[= 625\ :(576 + 49) =\]

\[= 625\ :625 = 1\]

\[6)\ 10^{3} - 10^{2} + 9^{3} =\]

\[= 1000 - 100 + 729 = 1629\]