ii
[tex] {1}^{3} + {2}^{3} + {3}^{3} + {4}^{3} = 3 \frac{1}{3} [/tex]
[tex] {5}^{3} + {0}^{3} + {7}^{3} = 4[/tex]
[tex] {1}^{3} + {9}^{3} + {11}^{3 } = 7[/tex]
[tex] {1}^{4} + {2}^{4} + {3}^{4} + {4}^{4} = 2 \frac{1}{2} [/tex]
5.
[tex]a) {6}^{2} + {7}^{2} = (6 + 7) {}^{2} \\ \: \: \: \: 6 \frac{1}{2} =169 \: (f) [/tex]
[tex] {3}^{2 } + {4}^{2} = {5}^{2 } \\ 25 = 25(a)[/tex]
[tex] {4}^{2} + {5}^{2} = {6}^{2} \\ 41 = 36(f)[/tex]
[tex] {3}^{3} + {4}^{3} + {5}^{3} = {6}^{3} \\ 216 = 216(a)[/tex]
[tex] {8}^{2} - {7}^{2} = (8 - 7)(8 + 7) \\ 15 = 15(a)[/tex]
6. a)
[tex](8 + 3) \times (8 - 3) = \\ 11 \times 5 = 55[/tex]
[tex] {8}^{2} - {3}^{2} = 64 - 9 = 55[/tex]
b)
[tex](8 + 3){2} = {11}^{2} = 121[/tex]