code: def test_pow_as_base_exp():
      assert (S.Infinity ** (2 - x)).as_base_exp() == (
          S.Infinity,
          2 - x,
      )
      assert (S.Infinity ** (x - 2)).as_base_exp() == (
          S.Infinity,
          x - 2,
      )
      p = S.Half**x
      assert p.base, p.exp == p.as_base_exp() == (S(2), -x)
      p = (S(3) / 2) ** x
      assert p.base, p.exp == p.as_base_exp() == (3 * S.Half, x)
      p = (S(2) / 3) ** x
      assert p.as_base_exp() == (S(3) / 2, -x)
      assert p.base, p.exp == (S(2) / 3, x)
      # issue 8344:
      assert Pow(1, 2, evaluate=False).as_base_exp() == (S.One, S(2))
  
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 14 for calling a global function with example usage: test_pow_as_base_exp() without return types