Value of iota 502= i^502 = i^500×i^2 = (i^4)^125×i^2 =(1)^125×i^2 = 1Hence, Value of iota 502 is 1 ...

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Value of iota...

Question

Value of iota $502$

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Solution

Value of iota $502$
$= i^{502} = i^{500} \times i^{2} = {(i^{4})}^{125} \times i^{2} = {(1)}^{125} \times i^{2} = - 1$
Hence, Value of iota $502$ is $- 1$

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