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Need to see if what im doing is right, here is the problem:

z= 4i/(-1+i), express z^20 in standard form.

so,

z= 4i/(-1+i) = 2-2i

z^20 = 2*sqrt(2) x cis[20(-pi/4)] = 2*sqrt(2) x cis(-5pi)

= 2*sqrt(2) x [cos(-5pi) + i sin(-5pi)]

= 2*sqrt(2) x [-1 + 0i]

= 2*sqrt(2) x [-1] = -2048

so the final answer is only a real number of magnitude -2048+0i. is this correct? thanks.

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# Homework Help: Express Imaginary number in standard form.

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