Write the value of `(i^(592)+i^(590)+i^(588)+i^(586)+i^(584))/(i^(582)+i^(580)+i^(578)+i^(576)+i^(574))\ dot`

Explanation

To solve the expression \((i^{592} + i^{590} + i^{588} + i^{586} + i^{584}) / (i^{582} + i^{580} + i^{578} + i^{576} + i^{574})\), we can follow these steps:

### Step 1: Factor out the minimum power in the numerator and denominator

The minimum power in the numerator is \(i^{584}\) and in the denominator is \(i^{574}\).

**Numerator:**
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