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Evaluate the following: \ (i^(77)+i^(70)...

Evaluate the following: `\ (i^(77)+i^(70)+i^87+i^(414))^3`

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To evaluate the expression \((i^{77} + i^{70} + i^{87} + i^{414})^3\), we will first find the values of each power of \(i\) and then substitute them into the expression. ### Step 1: Calculate \(i^{77}\) We know that the powers of \(i\) cycle every 4: - \(i^1 = i\) - \(i^2 = -1\) - \(i^3 = -i\) - \(i^4 = 1\) ...
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