Problem 4 of 7
Simplify i^44.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
use cycle i, -1, -i, 1.
Hidden until you reveal it.
Exponent must be a nonnegative integer.
Enter your answer
Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Use the cycle i, -1, -i, 1.
2. Find the exponent remainder when divided by 4.
3. Match the remainder to the simplified value.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Unsimplified powers of i.