Question 328480
(-16)^1/4
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{{{16 = 2^4}}} there's no 3 involved.
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-16 = 16cis(180)
(-16)^1/4 = 2cis(45 + n*360)
= 2cis(45), 2cis(135), 2cis(225), 2cis(315)
= sqrt(2) + i*sqrt(2)
= -sqrt(2) + i*sqrt(2)
= -sqrt(2) - i*sqrt(2)
= sqrt(2) - i*sqrt(2)
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