De Moivre's Theorem and Finding Roots of Complex Numbers Practice Test

$\k=0: \sqrt[5]{5}\left (\cos53.13^\circ+i\sin53.13^\circ \right )=R_1\ k=1: \sqrt[5]{5}\left (\cos125.13^\circ+i\sin125.13^\circ \right )=R_2\ k=2: \sqrt[5]{5}\left (\cos197.13^\circ+i\sin197.13^\circ \right )=R_3\ k=3: \sqrt[5]{5}\left (\cos269.13^\circ+i\sin269.13^\circ \right )=R_4\ k=4: \sqrt[5]{5}\left (\cos341.13^\circ+i\sin341.13^\circ \right )=R_5$

Use De Moivre's Theorem to evaluate $(3 \sqrt3 -3i) ^ 6$ .

Find all fifth roots of .

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De Moivre's Theorem and Finding Roots of Complex Numbers Practice Test

Use De Moivre's Theorem to evaluate .

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Use De Moivre's Theorem to evaluate $(3 \sqrt3 -3i) ^ 6$ .