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Consider the complex number z=-1+i . Choose from below, the correct response/s...

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Consider the complex number z=-1+i. Choose from below, the correct response/s.

In polar form $z^3=2\sqrt{2}\,\text{cis}\left(\dfrac{\pi}{4}\right)$ z^3=2\sqrt{2}\,\text{cis}\left(\dfrac{\pi}{4}\right).

In Cartesian form z^3 = 2+2i

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In Cartesian form z^4=-4

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In Cartesian form z^3 = 2-2i

In polar form $z=\sqrt{2}\,\text{cis}\left(-\dfrac{3\pi}{4}\right)$ z=\sqrt{2}\,\text{cis}\left(-\dfrac{3\pi}{4}\right).

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