diff --git a/spec/API_specification/dataframe_api/column_object.py b/spec/API_specification/dataframe_api/column_object.py
index 17722f5f..eef2bed5 100644
--- a/spec/API_specification/dataframe_api/column_object.py
+++ b/spec/API_specification/dataframe_api/column_object.py
@@ -295,6 +295,10 @@ def __pow__(self, other: Column | Scalar) -> Column:
         """
         Raise this column to the power of `other`.
 
+        Integer dtype to the power of non-negative integer dtype is integer dtype.
+        Integer dtype to the power of float dtype is float dtype.
+        Float dtype to the power of integer dtype or float dtype is float dtype.
+
         Parameters
         ----------
         other : Column or Scalar
diff --git a/spec/API_specification/dataframe_api/dataframe_object.py b/spec/API_specification/dataframe_api/dataframe_object.py
index 46773428..7a283cc9 100644
--- a/spec/API_specification/dataframe_api/dataframe_object.py
+++ b/spec/API_specification/dataframe_api/dataframe_object.py
@@ -528,6 +528,10 @@ def __pow__(self, other: DataFrame | Scalar) -> DataFrame:
         """
         Raise this dataframe to the power of `other`.
 
+        Integer dtype to the power of non-negative integer dtype is integer dtype.
+        Integer dtype to the power of float dtype is float dtype.
+        Float dtype to the power of integer dtype or float dtype is float dtype.
+
         Parameters
         ----------
         other : DataFrame or Scalar