(2+i)^6 = 2^6 + 62^5 i + 152^4 i^2 + 202^3 i^3 + 152^2 i^4 + 62 i^5 + i^6
= 64 + 192i - 240 - 160i +60 - 12i + i^6
= -176 + 20i + i^6
= -176 + 20i - 1
= -177 + 20i.
(2+i)^6 = 2^6 + 62^5 i + 152^4 i^2 + 202^3 i^3 + 152^2 i^4 + 62 i^5 + i^6
= 64 + 192i - 240 - 160i +60 - 12i + i^6
= -176 + 20i + i^6
= -176 + 20i - 1
= -177 + 20i.