Power Reduction Rule

Reference > Algebra: Imaginary Numbers

Description

The Power Reduction Rule states that:

in=in mod 4{i}^{n}={i}^{n\text{ mod }4}
Examples
i62{i}^{62}
1
Use Power Reduction Rule: in=in mod 4{i}^{n}={i}^{n\text{ mod }4}.
ı2{\imath }^{2}

2
Use Square Rule: i2=−1{i}^{2}=-1.
−1-1

Done

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