Question

（根号二分之1+i)2016次方？

Answer 1

[(1+i)/√2]^2
=(1+2i-1)/2
=2i/2
=i
所以指简租 原咐卖式=i的1008次方=（唯兆-1）的504次方=1

Answer 2

解：[(1+i)/√2]²⁰¹⁶
＝{[(1+i)/√2]²}¹⁰⁰⁸
＝[(1+i)²/2]¹⁰⁰⁸
＝[(2i)/团旅历2]¹⁰⁰⁸
＝i¹⁰⁰⁸＝(i⁴镇庆)²⁵²＝1²塌搜⁵²＝1