Решебник по алгебре 7 класс Мерзляк ФГОС Задание 242

 

\[\boxed{\text{242\ (242).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]

\[1)\ 24\ :3 = 8\]

\[3^{24} = \left( 3^{3} \right)^{8}\]

\[2)\ 24\ :12 = 2\ \]

\[3^{24} = \left( 3^{12} \right)^{2}\]

\[3)\ 24\ :2 = 12\]

\[3^{24} = \left( 3^{2} \right)^{12} = 9^{12}\]

\[4)\ 24\ :4 = 6\]

\[3^{24} = \left( 3^{4} \right)^{6} = 81^{6}\]

\[\boxed{\text{242.}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]

\[x^{2} - x^{3} = {0,1}^{2} - {0,1}^{3} =\]

\[= 0,01 - 0,001 = 0,009.\]

\[15a^{2} = 15 \cdot {0,4}^{2} = 15 \cdot 0,16 =\]

\[= 2,4.\]

\[(x - y)^{5} = (0,8 - 0,6)^{5} =\]

\[= {0,2}^{5} = 0,00032.\]

\[a^{2}b^{3} = {0,6}^{2} \cdot {0,5}^{3} =\]

\[= 0,36 \cdot 0,125 = 0,045\text{.\ }\]

\[\left( x^{2} - y^{2} \right)\ :(x - y) =\]

\[= \frac{(x - y) \cdot (x + y)}{x - y} = x + y =\]

\[= 5 + 3 = 8.\]

\[\left( x^{2} - y^{2} \right)\ :x - y =\]

\[= \left( 5^{2} - 3^{3} \right)\ :5 - 3 =\]

\[= (25 - 9)\ :5 - 3 =\]

\[= 16\ :5 - 3 = 3,2 - 3 = 0,2.\]

\[x^{2} - y^{2}\ :(x - y) =\]

\[= 25 - 9\ :(5 - 3) =\]

\[= 25 - 9\ :2 = 25 - 4,5 =\]

\[= 20,5.\]

\[x^{2} - y^{2}\ :x - y =\]

\[= 25 - 9\ :5 - 3 =\]

\[= 25 - 1,8 - 3 = 20,2.\]