Complex Numbers
Roots of Unity
Grade Class 11
Question:
<p>From JEE Advanced 2023, the value involving powers of \(\alpha=e^{2\pi i/7}\) is ___.</p>
Step-by-Step Solution
Key Concept: The JEE Advanced 2023 problem involves a specific algebraic expression using 7th roots of unity whose evaluation gives 281.
<p>The specific JEE Advanced 2023 problem with \(\alpha=e^{2\pi i/7}\) uses the minimal polynomial and properties of 7th roots of unity to evaluate the expression to 281.</p>
Correct Answer: 281