The value of $i^{586}$ is

__

Open in App

Solution

$i^{586}$ = $i^{R}$ [remainder of $\frac{586}{4}$ ]

= $i^{2}$ = -1

Suggest Corrections

Similar questions

The value of $i^{586}$ is

\frac{i^{592} + i^{590} + i^{588} + i^{586} + i^{584}}{i^{582} + i^{580} + i^{578} + i^{576} + i^{574}}

\frac{i^{592} + i^{590} + i^{588} + i^{586} + i^{584}}{i^{582} + i^{580} + i^{578} + i^{576} + i^{574}} - 1

\frac{i^{592} + i^{590} + i^{588} + i^{586} + i^{584}}{i^{582} + i^{580} + i^{578} + i^{576} + i^{574}} - 1 =

The value of $\frac{i^{592} + i^{590} + i^{588} + i^{586} + i^{584}}{i^{582} + i^{580} + i^{578} + i^{576} + i^{574}}$ - 1 =

Join BYJU'S Learning Program