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Evaluate (i^(.81) + 1)/(i^(253))^(9)...

Evaluate `(i^(.81) + 1)/(i^(253))^(9)`

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To evaluate the expression \((i^{0.81} + 1) / (i^{253})^{9}\), we will follow these steps: ### Step 1: Simplify the numerator \(i^{0.81} + 1\) We can express \(i^{0.81}\) in terms of its exponential form. Recall that \(i = e^{i\frac{\pi}{2}}\). Thus, we can write: \[ i^{0.81} = e^{i\frac{\pi}{2} \cdot 0.81} = e^{i\frac{0.81\pi}{2}}. \] So, the numerator becomes: ...
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