Homework Soursesqrt 2 2 sqrt 2 2 i 8Solution2222i8 2i22i8 2i1828i8 24i1
(sqrt 2/ 2 - sqrt 2/ 2 i) ^8
Solution
((2/2)-(2/2i))8
= ((2i-2)/2i)8
= (2(i-1))8/28i8
= 24(i-1)8/28 [i4=1]
= ((i-1)2)4/24
= (i2-2i+1)4/16 [(a-b)2=a2-2ab+b2]
= (-1-2i+1)4/16
= (-2i)4/16
= 16/16
=1
![(sqrt 2/ 2 - sqrt 2/ 2 i) ^8Solution((2/2)-(2/2i))8 = ((2i-2)/2i)8 = (2(i-1))8/28i8 = 24(i-1)8/28 [i4=1] = ((i-1)2)4/24 = (i2-2i+1)4/16 [(a-b)2=a2-2ab+b2] = (-1](/WebImages/27/sqrt-2-2-sqrt-2-2-i-8solution2222i8-2i22i8-2i1828i8-24i1-1073717-1761562840-0.webp "(sqrt 2/ 2 - sqrt 2/ 2 i) ^8Solution((2/2)-(2/2i))8 = ((2i-2)/2i)8 = (2(i-1))8/28i8 = 24(i-1)8/28 [i4=1] = ((i-1)2)4/24 = (i2-2i+1)4/16 [(a-b)2=a2-2ab+b2] = (-1")
