SOLUTION: Express {{{(7i^5-2i^6)/(3i^10+i^7)}}} in the form a+bi

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Express {{{(7i^5-2i^6)/(3i^10+i^7)}}} in the form a+bi      Log On


   

Question 296028: Express %287i%5E5-2i%5E6%29%2F%283i%5E10%2Bi%5E7%29 in the form a+bi
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Express %287i%5E5-2i%5E6%29%2F%283i%5E10%2Bi%5E7%29 in the form a+bi
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Eliminate the exponents
i%5E2+=+-1
i%5E3+=+-i
i%5E4+=+%2B1
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%287i%2B2i%29%2F%28-3i-i%29
= 9i/-4i = -9/4
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or, (-9/4) + 0i