Division of Complex Numbers in Polar Form/Examples/(3 cis pi by 6) (2 cis -5 pi by 4) (6 cis 5 pi by 3) (4 cis 2 pi by 3)^-2/Mistake

Source Work

 * Chapter $1$: Complex Numbers
 * Supplementary Problems: De Moivre's Theorem: $89 \ \text {(d)}$

Mistake

 * Evaluate each of the following:
 * ... $\dfrac {\paren {3 e^{\pi i / 6} } \paren {2 e^{- 5 \pi i / 4} } \paren {6 e^{5 \pi i / 3} } } {\paren {4 e^{2 \pi i / 3} }^2}$


 * ''Ans. $3 \sqrt 2 / 2 - \paren {3 \sqrt 3 / 2} i$

Correction
The correct solution is:


 * $-\dfrac {9 \sqrt 2} 8 - \dfrac {9 \sqrt 2} 8 i$