Question:medium
The value of $\dfrac{(1+i)^n}{(1-i)^{n-4}}$, where $i=\sqrt{-1}$ and $n$ is an integer, is:
The value of $\dfrac{(1+i)^n}{(1-i)^{n-4}}$, where $i=\sqrt{-1}$ and $n$ is an integer, is:
Show Hint
Use $\frac{1+i}{1-i} = i$ and $(1-i)^4 = -4$ to simplify quickly.
Updated On: Apr 24, 2026
- $\dfrac{i^n}{4}$
- $4i^n$
- $-4i^n$
- $-1$
- $1$
Show Solution
The Correct Option is C
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