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1¹ + 19¹ + 20¹ + 51¹ + 57¹ + 80¹ + 82¹ = 2¹ + 12¹ + 31¹ + 40¹ + 69¹ + 71¹ + 85¹

1² + 19² + 20² + 51² + 57² + 80² + 82² = 2² + 12² + 31² + 40² + 69² + 71² + 85²

1³ + 19³ + 20³ + 51³ + 57³ + 80³ + 82³ = 2³ + 12³ + 31³ + 40³ + 69³ + 71³ + 85³

1⁴ + 19⁴ + 20⁴ + 51⁴ + 57⁴ + 80⁴ + 82⁴ = 2⁴ + 12⁴ + 31⁴ + 40⁴ + 69⁴ + 71⁴ + 85⁴

1⁵ + 19⁵ + 20⁵ + 51⁵ + 57⁵ + 80⁵ + 82⁵ = 2⁵ + 12⁵ + 31⁵ + 40⁵ + 69⁵ + 71⁵ + 85⁵

1⁶ + 19⁶ + 20⁶ + 51⁶ + 57⁶ + 80⁶ + 82⁶ = 2⁶ + 12⁶ + 31⁶ + 40⁶ + 69⁶ + 71⁶ + 85⁶

975² + 224368² + 300495² + 366448² = 37648² + 202575² + 337168² + 344655²

975³ + 224368³ + 300495³ + 366448³ = 37648³ + 202575³ + 337168³ + 344655³

975⁴ + 224368⁴ + 300495⁴ + 366448⁴ = 37648⁴ + 202575⁴ + 337168⁴ + 344655⁴

1^k + 12^k + 25^k + 66^k + 91^k + 130^k + 174^k + 213^k + 238^k + 279^k + 292^k + 303^k
= 4^k + 6^k + 31^k + 58^k + 105^k + 117^k + 187^k + 199^k + 246^k + 273^k + 298^k + 300^k
( k = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 )

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