Question

Show that 1+i10+i100+i1000=2

Answer 1

i10 = (i4)2 . i2 = -1

i100 = (i4)25 = 1

i1000 = (i4)250 = 1

now

1 + i10 + i100 - i1000

1 + (-1) + 1 - 1

0

Answer 2

Answer:

0

Step-by-step explanation:

i10=-1

i100=1

i1000=1

then, 1+i10+i100-i1000=0 ....(1)

1-1+1-1=0

0=0

hence, we can say (1)=0