91Ó°ÊÓ

Find \(\frac{z_{1}}{z_{2}}\) in polar form. $$z_{1}=\sqrt{2} \operatorname{cis}\left(90^{\circ}\right) ; z_{2}=2 \operatorname{cis}\left(60^{\circ}\right)$$

Find \(\frac{z_{1}}{z_{2}}\) in polar form. $$z_{1}=15 \operatorname{cis}\left(120^{\circ}\right) ; z_{2}=3 \operatorname{cis}\left(40^{\circ}\right)$$

Find \(\frac{z_{1}}{z_{2}}\) in polar form. $$z_{1}=6 \operatorname{cis}\left(\frac{\pi}{3}\right) ; z_{2}=2 \operatorname{cis}\left(\frac{\pi}{4}\right)$$

Find \(\frac{z_{1}}{z_{2}}\) in polar form. $$z_{1}=5 \sqrt{2} \operatorname{cis}(\pi) ; z_{2}=\sqrt{2} \operatorname{cis}\left(\frac{2 \pi}{3}\right)$$

Find \(\frac{z_{1}}{z_{2}}\) in polar form. $$z_{1}=2 \operatorname{cis}\left(\frac{3 \pi}{5}\right) ; z_{2}=3 \operatorname{cis}\left(\frac{\pi}{4}\right)$$

Find the powers of each complex number in polar form. Find \(z^{3}\) when \(z=5 \operatorname{cis}\left(45^{\circ}\right)\)

Find the powers of each complex number in polar form. Find \(z^{4}\) when \(z=2 \operatorname{cis}\left(70^{\circ}\right).\)

Find the powers of each complex number in polar form. Find \(z^{2}\) when \(z=3 \operatorname{cis}\left(120^{\circ}\right).\)

Find the powers of each complex number in polar form. Find \(z^{2}\) when \(z=4 \operatorname{cis}\left(\frac{\pi}{4}\right).\)

Find the powers of each complex number in polar form. Find \(z^{4}\) when \(z=\operatorname{cis}\left(\frac{3 \pi}{16}\right).\)