How do you simplify #5i^32 + 7i^11 + 3i^2 - i^17 # in #a + bi# form?
First, you need to know that the imaginary number
Let's write out some powers of
This pattern continues...
I encourage you to try it out. It's much easier with a pencil and paper than here with all the codes.
Essentially, for each power you raise
In this problem, we have:
Plug these simplified values in your original expression:
If you're confused about those middle steps, watch a video:
Hope that helps! Imaginary numbers are cool!