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Mathematics
Mathematics
Problem
If
z
=
3
+
i
2
z = \frac{\sqrt{3} + i}{2}
z
=
2
3
+
i
, where
i
=
−
1
i = \sqrt{-1}
i
=
−
1
, find the value of
(
z
101
+
i
103
)
105
(z^{101} + i^{103})^{105}
(
z
101
+
i
103
)
105
.
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