32.1  a) (sqrt(3)-i)^(-12)-1/4096
      b) (3+sqrt(3)i)^5-(-432+144*sqrt(3)i)
      d) (sqrt(2)(cos(pi/12)+i*sin(pi/12)))^10-(-16sqrt(3)+16i)
      e) 2*(cos(pi/12)+i*sin(pi/12))^36
      h) (6*e^(i*(137*pi/180)))^2
      i) (2*e^(3*pi/4*i))^8
      k) (e^(i*pi*2/9))^273-(-1/2+sqrt(3)/2i)
      l) (e^(i*pi*3/307))^614

32.2  (-1)^(1/7)

32.3  (1+sqrt(3)i)^(1/5)

32.4  (-64)^(1/4)

32.5  (32*(cos(pi/3)+i*sin(pi/3)))^(1/5)

32.6  a) z_1 = 3*e^(i*(pi/3))
      d) z_4 = 2*e^(i(-pi/3))
         z_1 + z_4 = (3*e^(i*(pi/3))) + (2*e^(i(-pi/3)))
		 z_1 * z_4 = (3*e^(i*(pi/3))) * (2*e^(i(-pi/3)))
         z_1 / z_4 = (3*e^(i*(pi/3))) / (2*e^(i(-pi/3)))

32.7  a) (4*e^(i*(-pi/3)))^5+(sqrt(3)*e^(i*(3pi/2)))^8
      c) ( (sqrt(2)*e^(i*(5pi/4))) * (2*e^(i*(2pi/3))) )^5
      d) ( (4*e^(i*(-pi/3))) + (2*e^(i*(2pi/3)))^2 )^(1/3)
      e) ( (4*e^(i*(-pi/3))) + (sqrt(3)*e^(i*(3pi/2))) )/(2*e^(i*(2pi/3)))
      f) ( (2*e^(i*(2pi/3))) )^(1/4)/ (sqrt(3)*e^(i*(3pi/2)))
      h) |( (4*e^(i*(-pi/3))) )^3 + (sqrt(2)*e^(i*(5pi/4)))^2|
      i) |( Conjugate[(2*e^(i*(2pi/3)))] ) / (sqrt(3)*e^(i*(3pi/2)))|

32.8  a) 1^(1/4)
      b) (1+i)^(1/2)
      d) (1/sqrt(2)+i/sqrt(2))^(1/2)
      e) (-2(1+sqrt(3)i))^(1/2)
      f) (-i)^(1/3)
      g) (-27)^(1/3)
      h) (i)^(1/4)
      i) (sqrt(3)+i)^(1/4)
      k) solve x^2-6x+10=0
      l) solve x^3-3x^2+3x-28=0
      m) solve x^4+6x^2+8=0
      n) solve x^2-2x+5=0
         (1-2i)^(1/3)
         (1+2i)^(1/3)
      o) (x+1)/(x-1) where x = 2
         (x+1)/(x-1) where x = -2
         (x+1)/(x-1) where x = 2i
         (x+1)/(x-1) where x = -2i
         (x+1)/(x-1) where x = sqrt(2)+i*sqrt(2)
         (x+1)/(x-1) where x = -sqrt(2)+i*sqrt(2)
         (x+1)/(x-1) where x = +sqrt(2)-i*sqrt(2)
         (x+1)/(x-1) where x = -sqrt(2)-i*sqrt(2)
      p) solve x^3+2x^2+2x+4=0