SOLUTION: write the expression as a complex number in standard form. 6i÷1-2i

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Question 172672: write the expression as a complex number in standard form.
6i÷1-2i
Answer by Alan3354(69443) About Me  (Show Source):
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write the expression as a complex number in standard form.
6i÷1-2i
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6i/(1-2i)
Multiply NUM and DEN by the conjugate, (1+2i)
= 6i*(1+2i)/(1-2i)*(1+2i)
= (6i-12)/(1+4)
= (-12+6i)/5
or -6*(2-i)/5