Simplify each of the following powers of i. i^15

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Question:

Simplify each of the following powers of i. i^15

Answer:

The simplified form of the complex power is

The square root of any negative number leads to a complex number. For example:

Given the complex expression, . This can be expressed as:

Substitute i² = -1 into the result to have:

This shows that the value of the complex power is

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