• # question_answer If $n$ is a positive integer, then which of the following relations is false A) ${{i}^{4n}}=1$ B) ${{i}^{4n-1}}=i$ C) ${{i}^{4n+1}}=i$ D) ${{i}^{-4n}}=1$

We know that ${{i}^{2}}=-1$ Þ ${{({{i}^{2}})}^{2}}={{(-1)}^{2}}=1\Rightarrow \,\,\,\,{{i}^{4n}}={{1}^{n}}$ and therefore ${{i}^{4n-1}}=-i$