• # question_answer The value of  $\frac{{{i}^{592}}+{{i}^{590}}+{{i}^{588}}+{{i}^{586}}+{{i}^{584}}}{{{i}^{582}}+{{i}^{580}}+{{i}^{578}}+{{i}^{576}}+{{i}^{574}}}-1=$ A) $-1$ B) - 2 C) $-3$ D) - 4

$\frac{{{i}^{584}}({{i}^{8}}+{{i}^{6}}+{{i}^{4}}+{{i}^{2}}+1)}{{{i}^{574}}({{i}^{8}}+{{i}^{6}}+{{i}^{4}}+{{i}^{2}}+1)}-1=\frac{{{i}^{584}}}{{{i}^{574}}}-1$ $={{i}^{10}}-1=-1-1=-2$