code: def test_dtype_representation(using_infer_string):
      # GH#46900
      pmidx = MultiIndex.from_arrays(
          [[1], ["a"]], names=[("a", "b"), ("c", "d")]
      )
      result = pmidx.dtypes
      exp = "object" if not using_infer_string else "string"
      expected = Series(
          ["int64", exp],
          index=MultiIndex.from_tuples([("a", "b"), ("c", "d")]),
          dtype=object,
      )
      tm.assert_series_equal(result, expected)
  
imports: from datetime import date, datetime
  import itertools
  import numpy
  import pytest
  from pandas.core.dtypes.cast import construct_1d_object_array_from_listlike
  import pandas
  from pandas import Index, MultiIndex, Series, Timestamp, date_range
  import pandas._testing
label_desc: Use image node_id 48 for calling a global function with example usage: test_dtype_representation(using_infer_string) without return types