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!
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Answer: " Yes; you can! "
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Note:
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From both the numerator and denominator, we can factor out a "3";
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→ " [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] " .