Answer
$(1+i)^4=-4$
Work Step by Step
$(1+i)^4=~_4C_0(1)^4+~_4C_1(1)^3(i)^1+~_4C_2(1)^2(i)^2+~_4C_3(1)^1(i)^3+~_4C_4(i)^4=1+4i+6(-1)+4(-i)+1=-4$
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