diff --git a/parso/python/normalizer.py b/parso/python/normalizer.py
index 8af4dfb..046e6f5 100644
--- a/parso/python/normalizer.py
+++ b/parso/python/normalizer.py
@@ -473,9 +473,17 @@ class ErrorFinder(Normalizer):
             self._add_syntax_error(message, node)
         elif type_ == 'test':
             error = 'conditional expression'
-        elif type_ == 'atom_expr':
+        elif type_ in ('atom_expr', 'power'):
             if node.children[0] == 'await':
                 error = 'await expression'
+            elif node.children[-2] == '**':
+                error = 'operator'
+            else:
+                # Has a trailer
+                trailer = node.children[-1]
+                assert trailer.type == 'trailer'
+                if trailer.children[0] == '(':
+                    error = 'function call'
         elif type_ in ('testlist_star_expr', 'exprlist'):
             for child in node.children[::2]:
                 self._check_assignment(child, is_deletion)
diff --git a/test/test_python_errors.py b/test/test_python_errors.py
index dd44307..10183c2 100644
--- a/test/test_python_errors.py
+++ b/test/test_python_errors.py
@@ -100,6 +100,7 @@ def test_indentation_errors(code, positions):
         'f(x=2, y)',
         'f(**x, *y)',
         'f(**x, y=3, z)',
+        # All assignment tests
         'lambda a: 1 = 1',
         '[x for x in y] = 1',
         '{x for x in y} = 1',
@@ -116,6 +117,7 @@ def test_indentation_errors(code, positions):
         'b"" = 1',
         '"" "" = 1',
         '1 | 1 = 3',
+        '1**1 = 3',
         '~ 1 = 3',
         'not 1 = 3',
         '1 and 1 = 3',
@@ -126,6 +128,7 @@ def test_indentation_errors(code, positions):
         '(True,) = x',
         '([False], a) = x',
         'a, 1 = x',
+        'foo() = 1',
 
         # SyntaxErrors from Python/symtable.c
         'def f(x, x): pass',