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i^(53) + i^(72) + i^(93) + i^(102) = 2i....

`i^(53) + i^(72) + i^(93) + i^(102) = 2i`.

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To solve the equation \( i^{53} + i^{72} + i^{93} + i^{102} = 2i \), we will first simplify each term using the properties of the imaginary unit \( i \). ### Step-by-Step Solution: 1. **Understanding the Powers of \( i \)**: The powers of \( i \) cycle every 4: - \( i^1 = i \) - \( i^2 = -1 \) ...
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