Question

What is the value of 5^3i^9?

Answer 1

`\displaystyle 125^i`

Explanation:

Extended Information on the Complex Number System

`\displaystyle √(-1) = i \\ -1 = i^2 \\ -i = i^3 \\ 1 = i^4\:[all\:multiples\:of\:four]`

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