SOLUTION: Please help me and show work. Thaks in advance Evaluate the expression −4+3i/8i and write the result in the form a+bi.

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson  -> Lesson -> SOLUTION: Please help me and show work. Thaks in advance Evaluate the expression −4+3i/8i and write the result in the form a+bi.       Log On


   

Question 1015378: Please help me and show work. Thaks in advance
Evaluate the expression −4+3i/8i and write the result in the form a+bi.

Found 3 solutions by KMST, macston, ikleyn:
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
(-4+3i)/8i=%28-4%2B3i%29%2F8i=%28%28-4%2B3i%29%2F8i%29%28%28-i%29%2F%28-i%29%29=%28-4%2B3i%29%28-i%29%2F%288i%28-i%29%29=%284i-3i%5E2%29%2F%28-8i%5E2%29=%284i-3%28-1%29%29%2F%28-8%28-1%29%29=%284i%2B3%29%2F8=%283%2B4i%29%2F8=3%2F8%2B4i%2F8=0.375%2B0.5i

Answer by macston(5194) About Me  (Show Source):
Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.
Please help me and show work. Thaks in advance
Evaluate the expression −4+3i/8i and write the result in the form a+bi.
----------------------------------------------------------------------------

%28%28-4%2B3i%29%2F8i%29%288i%2F8i%29=%28-32i%2B24i%5E2%29%2F%2864%2Ai%5E2%29=%28-32i%2B24%28-1%29%29%2F%2864%2A%28-1%29%29=%28-24-32i%29%2F-64=%283%2B4i%29%2F8 = 3%2F4 + %281%2F2%29%2Ai.