Question

i是虚数单位，则1+

C

16

i+

C

26

i2+

C

36

i3+

C

46

i4+

C

56

i5+

C

66

i6=______．

Answer 1

1+

C

16

i+

C

26

i2+

C

36

i3+

C

46

i4+

C

56

i5+

C

66

i6=（1+i）⁶=[（1+i）²]³=（2i）³=-8i．
故答案为：-8i．