Question

PLEASE HELP


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Answer 1

`8i^(22)` - 1

Step-by-step explanation:

It's actually quite easy to tell which simplifies to a real number without working out the problem.

`i^(2)` = -1

Any imaginary number with an even exponent is simplified to a real number. If it has an odd exponent, it cannot be simplified to a real number.

Some tips for fully solving the expression:

If the exponent is divisible by 4, then don't change the sign of the coefficient. You're just multiplying it by 1 because
`i^(4)` =
`(i^(2))^(2)` =
`(-1)^(2)` = 1

If the exponent is divisible by 2, change the sign of the coefficient because you're multiplying it by -1.