Perform the operation and write the result in standard form.

Question

8 + 20i over 2i

Please explain, I am very confused!!

Answer 1

i is a symbol such that
i² = -1

To calculate (8+20i)/i
multiply top and bottom by i, and substitute all i² by -1.
(8+20i)/i
=(8+20i)i/i*i
=(8i+20i²)/(i²)
=(8i-20)/(-1)
=20-8i