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[tex]1 {}^{3} + 2 {}^{3} + 3 {}^{ 3} + 4 {}^{3} = \\ 1 + 8 + 27 + 64 = \\ 9 + 27 + 64 = \\ 36 + 64 = \\ 100 \\ \\ 5 {}^{3} + 0 {}^{3} + 7 {}^{3} = \\ 125 + 0 + 343 = \\ 125 + 343 = \\ 468 \\ \\ 1 {}^{3} + 9 {}^{3} + 11 {}^{3} = \\ 1 + 729 + 1 \: 331 = \\ 730 + 1 \: 331 = \\ 2 \: 061 \\ \\ 1 {}^{4} + 2 {}^{4} + 3 {}^{4} + 4 {}^{4 } = \\ 1 + 16 + 81 + 256 = \\ 17 + 81 + 256 = \\ 98 + 256 = \\ 354[/tex]