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In Exercises $53-64,$ perform the indicated multiplication or division. Express your answer in both polar form $r(\cos \theta+i \sin \theta)$ and rectangular form $...

Question

In Exercises $53-64,$ perform the indicated multiplication or division. Express your answer in both polar form $r(\cos \theta+i \sin \theta)$ and rectangular form $a+b i$. $$\frac{\sqrt{54}\left(\cos \frac{9 \pi}{4}+i \sin \frac{9 \pi}{4}\right)}{\sqrt{6}\left(\cos \frac{7 \pi}{12}+i \sin \frac{7 \pi}{12}\right)}$$

In Exercises $53-64,$ perform the indicated multiplication or division. Express your answer in both polar form $r(\cos \theta+i \sin \theta)$ and rectangular form $a+b i$. $$\frac{\sqrt{54}\left(\cos \frac{9 \pi}{4}+i \sin \frac{9 \pi}{4}\right)}{\sqrt{6}\left(\cos \frac{7 \pi}{12}+i \sin \frac{7 \pi}{12}\right)}$$



Answers

In Exercises $53-64,$ perform the indicated multiplication or division. Express your answer in both polar form $r(\cos \theta+i \sin \theta)$ and rectangular form $a+b i$. $$\frac{\sqrt{54}\left(\cos \frac{9 \pi}{4}+i \sin \frac{9 \pi}{4}\right)}{\sqrt{6}\left(\cos \frac{7 \pi}{12}+i \sin \frac{7 \pi}{12}\right)}$$


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