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1 solution
Did it with the help of PEMDAS (solving inside the parenthesis first, then doing the exponent before multiplying)
(1 + 2 + 3 + 4)^1 + 4(1 + 2 + 3)^2 + 6(1 + 2)^3 + 4( 1)^4 =
(1 + 2 + 3 + 4)^1 = 10^1 = 10
4(1 + 2 + 3)^2 = 4(6)^2 = 4(36) = 144
6(1 + 2)^3 = 6(3)^3 = 6(27) = 162
4( 1)^4 = 4(1) = 4
10 + 144 + 162 + 4 = 154 + 162 + 4 = 316 + 4 = 320
The answer is 320.