Question:medium

If $n \in \mathbb{Z}$, then the expression $\frac{2^n}{(1-i)^{2n}} + \frac{(1+i)^{2n}}{2^n}$ is equal to:

Show Hint

The squares $(1\pm i)^2 = \pm 2i$ are extremely useful for simplifying powers of these complex numbers.
Updated On: May 16, 2026
  • $0$
  • $2i^n$
  • $2 \cos(n\pi/2)$
  • $2^n$
Show Solution

The Correct Option is C

Solution and Explanation

Was this answer helpful?
0

Top Questions on Complex Numbers and Quadratic Equations

Questions Asked in MHT CET exam