code: def test_contraction_structure_Mul_and_Pow():
      x = IndexedBase("x")
      y = IndexedBase("y")
      i, j, k = Idx("i"), Idx("j"), Idx("k")
  
      i_ji = x[i] ** (y[j] * x[i])
      assert get_contraction_structure(i_ji) == {None: {i_ji}}
      ij_i = (x[i] * y[j]) ** (y[i])
      assert get_contraction_structure(ij_i) == {None: {ij_i}}
      j_ij_i = x[j] * (x[i] * y[j]) ** (y[i])
      assert get_contraction_structure(j_ij_i) == {(j,): {j_ij_i}}
      j_i_ji = x[j] * x[i] ** (y[j] * x[i])
      assert get_contraction_structure(j_i_ji) == {(j,): {j_i_ji}}
      ij_exp_kki = x[i] * y[j] * exp(y[i] * y[k, k])
      result = get_contraction_structure(ij_exp_kki)
      expected = {
          (i,): {ij_exp_kki},
          ij_exp_kki: [
              {
                  None: {exp(y[i] * y[k, k])},
                  exp(y[i] * y[k, k]): [
                      {
                          None: {y[i] * y[k, k]},
                          y[i] * y[k, k]: [{(k,): {y[k, k]}}],
                      }
                  ],
              }
          ],
      }
      assert result == expected
  
imports: from sympy.core import symbols, S, Pow, Function
  from sympy.functions import exp
  from sympy.testing.pytest import raises
  from sympy.tensor.indexed import Idx, IndexedBase
  from sympy.tensor.index_methods import IndexConformanceException
  from sympy.tensor.index_methods import get_contraction_structure, get_indices
label_desc: Use image node_id 12 for calling a global function with example usage: test_contraction_structure_Mul_and_Pow() without return types