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Consider the complex number z=2\,\text{cis}\left(-\dfrac{\pi}{3}\right) . Choo...

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Consider the complex number $z=2\,\text{cis}\left(-\dfrac{\pi}{3}\right)$ z=2\,\text{cis}\left(-\dfrac{\pi}{3}\right). Choose from below, the correct response/s.

$z^4=16\,\text{cis}\left(\dfrac{2\pi}{3}\right)$ z^4=16\,\text{cis}\left(\dfrac{2\pi}{3}\right)

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$z^3=8\,\text{cis}(\pi)$ z^3=8\,\text{cis}(\pi)

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$z^4=16\,\text{cis}\left(-\dfrac{2\pi}{3}\right)$ z^4=16\,\text{cis}\left(-\dfrac{2\pi}{3}\right)

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$z^2=4\,\text{cis}\left(-\dfrac{2\pi}{3}\right)$ z^2=4\,\text{cis}\left(-\dfrac{2\pi}{3}\right)

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