code: def test_issue_6208():
      from sympy.functions.elementary.miscellaneous import root
  
      assert sqrt(33 ** (I * 9 / 10)) == -(33 ** (I * 9 / 20))
      assert root((6 * I) ** (2 * I), 3).as_base_exp()[1] == Rational(
          1, 3
      )  # != 2*I/3
      assert root((6 * I) ** (I / 3), 3).as_base_exp()[1] == I / 9
      assert sqrt(exp(3 * I)) == exp(3 * I / 2)
      assert sqrt(-sqrt(3) * (1 + 2 * I)) == sqrt(sqrt(3)) * sqrt(
          -1 - 2 * I
      )
      assert sqrt(exp(5 * I)) == -exp(5 * I / 2)
      assert root(exp(5 * I), 3).exp == Rational(1, 3)
  
imports: from sympy.core import Basic, Rational, Symbol, S, Float, Integer, Mul, Number, Pow, Expr, I, nan, pi, symbols, oo, zoo, N
  from sympy.core.parameters import global_parameters
  from sympy.core.tests.test_evalf import NS
  from sympy.core.function import expand_multinomial
  from sympy.functions.elementary.miscellaneous import sqrt, cbrt
  from sympy.functions.elementary.exponential import exp, log
  from sympy.functions.special.error_functions import erf
  from sympy.functions.elementary.trigonometric import sin, cos, tan, sec, csc, atan
  from sympy.functions.elementary.hyperbolic import cosh, sinh, tanh
  from sympy.polys import Poly
  from sympy.series.order import O
  from sympy.sets import FiniteSet
  from sympy.core.power import power
  from sympy.core.intfunc import integer_nthroot
  from sympy.testing.pytest import warns, _both_exp_pow
  from sympy.utilities.exceptions import SymPyDeprecationWarning
  from sympy.abc import a, b, c, x, y
label_desc: Use image node_id 17 for calling a global function with example usage: test_issue_6208() without return types