Please simplify the imaginary number equation in standard a+bi form and explain your work. Can you divide 6 by 3i, even tho one is imaginary and one is not? I missed class today so I’m completely lost. Thanks! 20 points!

Please simplify the imaginary number equation in standard abi form and explain your work Can you divide 6 by 3i even tho one is imaginary and one is not I misse class=

Respuesta :

Answer:    " Yes; you can! "
________________________________
Note:
______________
From both the numerator and denominator, we can factor out a "3";

_______________________________________
→  " [tex]\frac{6 + 9i}{3i} =\frac{3(2+3i)}{3(i)}[/tex] ;

           →  Now, we can cancel out the "3's " ; in both the numerator and denominator;  since:  "3÷3 = 1 " ;

and we can rewrite the expression as:
→  " [tex]\frac{2+3i}{i}[/tex] " .