If , where , find the value of…

MATHEMATICS · Subjective · CBSE · Mathematics · Complex Numbers and Quadratic Equations · Complex Numbers and Quadratic Equations

Problem

If

z = \frac{\sqrt{3} + i}{2}

, where

i = \sqrt{-1}

, find the value of

(z^{101} + i^{103})^{105}

.

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