If a number is written in r·cis( theta ) form, then its four fourth roots are:
r1/4·cis( theta/4 ), r1/4·cis( theta/4 + pi/4 ), r1/4·cis( theta/4 + 2pi/4 ), r1/4·cis( theta/4 + 3pi/4 ).
Writing -4 into r·cis( theta ) form: -4 = 4·cis( pi )
So its four fourth roots are:
41/4·cis( pi/4 ), 41/4·cis( pi/4 + pi/4 ), 41/4·cis( pi/4 + 2pi/4 ), 41/4·cis( pi/4 + 3pi/4 ).
[You should simplify these answers.]