Question

gostaria de saber quanto é (1+i)^15

Answer 1

(1+i)^15 ==>[(1+i)²]^7.(1+i)
(1+2i + i²)]^7.(1+i) ==> (1+ 2i - 1)^7.(1+i)

 [2i]^7.(1+i)

128i^7(1+i)

- 128i(1+i) ==> - 128i - 128i²

===> - 128i + 128 

Answer 2

$(1 + i)^1^5 \\ \\ \\ (1+ i)^1^4 * (1 + i) \\ \\ ((1+ i)^2)^7 * (1 + i) \\ \\ (2i)^7 * (1 + i) \\ \\128i^7 * (1 + i) \\ \\ -128*(1 + i) \\ \\128 * (1 - i) \\ \\ => 128 - 128i$