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Power Reduction Rule
Reference
> Algebra: Imaginary Numbers
Description
The Power Reduction Rule states that:
\({i}^{n}={i}^{n\text{ mod }4}\)
Examples
\[{i}^{62}\]
1
Use
Power Reduction Rule
: \({i}^{n}={i}^{n\text{ mod }4}\).
\[{\imath }^{2}\]
2
Use
Square Rule
: \({i}^{2}=-1\).
\[-1\]
Done
-1