SOLUTION: (-16)^1/4 how do I evaluate this expression

Question 325079: (-16)^1/4 how do I evaluate this expression
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
(-16)^1/4 how do I evaluate this expression
=
=
= and
-------------------------------------
A better method:
-16 = 16cis(180 + n*360)
(16cis(180+n*360))^(1/4) = 2cis(45+n*90)
= 2cos(45) + 2i*sin(45) = sqrt(2) + i*sqrt(2)
= 2cos(135) + 2i*sin(135) = -sqrt(2) + i*sqrt(2)
= 2cos(225) + 2i*sin(225) = -sqrt(2) - i*sqrt(2)
= 2cos(315) + 2i*sin(315) = +sqrt(2) - i*sqrt(2)
4th root, 4 answers above.

RELATED QUESTIONS
evaluate the expression (-16)^1/4 hope i wrote this... (answered by stanbon)

how to evaluate the expression? 16... (answered by Alan3354)

3/2-(-2 3/4) how do i solve this i have to evaluate the... (answered by Alan3354)

How do I evaluate the expression [-10] (answered by stanbon,jim_thompson5910)

How do i evaluate this expression? |x-1| ----- x-1 the dotted line is suppose (answered by edjones)

I need to evaluate or simplify this numerical expression (16)to 3/4 of ?... (answered by stanbon)

Evaluate (0.0025)^-1/4 how exactly do I do this question? thanks in... (answered by stanbon)

How do I evaluate this expression using the properties of logarithms? 2log₈4 �... (answered by josmiceli)

How do i evaluate this problem 4-4+12divide... (answered by tommyt3rd)