find the value of 1+i10 +i100--i1000

We have,1+i10+i100-i1000=1+i8×i2+i100-i1000=1+i42×i2+i425-i4250=1+12×-1+125-1250           i=-1, i2=-1 and i4=1=1-1+1-1=0

  • 10
i10 = (i4)2 . i= -1
i100 = (i4)25 = 1
i1000 = (i4)250 = 1

now
1 + i10 + i100 - i1000
1 + (-1) + 1 - 1
0

hpe uh get it frnd.....!!!

 
  • 6
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