What is (3√3−3i)^4 equivalent to?

Question

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1882

1

Drag a value to each box to correctly express the answer in polar form and then in rectangular form.

***I've done this half-way but I'm not sure what else to put in the blank.

******The available answers are in the gray area.

Guest May 15, 2020

blackjack · Answer 1 · 2020-05-15T04:46:16

To find the angle, we need to do:

arctan( -648 sqrt(3) / -648 ) = pi / 3

But our point is in the third quadrant, so we need to add pi to that angle to get it into the third quadrant.

pi/3 + pi = 4pi / 3