diff --git a/numpy/core/src/umath/scalarmath.c.src b/numpy/core/src/umath/scalarmath.c.src
index 2e8a6ed6ee4c..6121c2fcddf6 100644
--- a/numpy/core/src/umath/scalarmath.c.src
+++ b/numpy/core/src/umath/scalarmath.c.src
@@ -1179,6 +1179,11 @@ convert_to_@name@(PyObject *value, @type@ *result, npy_bool *may_need_deferring)
  *         (Half, Float, Double, LongDouble,
  *             CFloat, CDouble, CLongDouble)*4,
  *         (Half, Float, Double, LongDouble)*3#
+ * #NAME = (BYTE, UBYTE, SHORT, USHORT, INT, UINT,
+ *              LONG, ULONG, LONGLONG, ULONGLONG)*12,
+ *          (HALF, FLOAT, DOUBLE, LONGDOUBLE,
+ *              CFLOAT, CDOUBLE, CLONGDOUBLE)*4,
+ *          (HALF, FLOAT, DOUBLE, LONGDOUBLE)*3#
  * #type = (npy_byte, npy_ubyte, npy_short, npy_ushort, npy_int, npy_uint,
  *             npy_long, npy_ulong, npy_longlong, npy_ulonglong)*12,
  *         (npy_half, npy_float, npy_double, npy_longdouble,
@@ -1202,24 +1207,12 @@ convert_to_@name@(PyObject *value, @type@ *result, npy_bool *may_need_deferring)
  *         (npy_half, npy_float, npy_double, npy_longdouble,
  *             npy_cfloat, npy_cdouble, npy_clongdouble)*4,
  *         (npy_half, npy_float, npy_double, npy_longdouble)*3#
- * #oname = (byte, ubyte, short, ushort, int, uint,
- *              long, ulong, longlong, ulonglong)*11,
- *          double*10,
- *          (half, float, double, longdouble,
- *              cfloat, cdouble, clongdouble)*4,
- *          (half, float, double, longdouble)*3#
  * #OName = (Byte, UByte, Short, UShort, Int, UInt,
  *              Long, ULong, LongLong, ULongLong)*11,
  *          Double*10,
  *          (Half, Float, Double, LongDouble,
  *              CFloat, CDouble, CLongDouble)*4,
  *          (Half, Float, Double, LongDouble)*3#
- * #ONAME = (BYTE, UBYTE, SHORT, USHORT, INT, UINT,
- *              LONG, ULONG, LONGLONG, ULONGLONG)*11,
- *          DOUBLE*10,
- *          (HALF, FLOAT, DOUBLE, LONGDOUBLE,
- *              CFLOAT, CDOUBLE, CLONGDOUBLE)*4,
- *          (HALF, FLOAT, DOUBLE, LONGDOUBLE)*3#
  */
 #define IS_@name@
 /* drop the "true_" from "true_divide" for floating point warnings: */
@@ -1234,7 +1227,7 @@ static PyObject *
 @name@_@oper@(PyObject *a, PyObject *b)
 {
     PyObject *ret;
-    @otype@ arg1, arg2, other_val;
+    @type@ arg1, arg2, other_val;
 
     /*
      * Check if this operation may be considered forward.  Note `is_forward`
@@ -1263,7 +1256,7 @@ static PyObject *
     PyObject *other = is_forward ? b : a;
 
     npy_bool may_need_deferring;
-    conversion_result res = convert_to_@oname@(
+    conversion_result res = convert_to_@name@(
             other, &other_val, &may_need_deferring);
     if (res == CONVERSION_ERROR) {
         return NULL;  /* an error occurred (should never happen) */
@@ -1305,7 +1298,7 @@ static PyObject *
              */
             return PyGenericArrType_Type.tp_as_number->nb_@oper@(a,b);
         case CONVERT_PYSCALAR:
-            if (@ONAME@_setitem(other, (char *)&other_val, NULL) < 0) {
+            if (@NAME@_setitem(other, (char *)&other_val, NULL) < 0) {
                 return NULL;
             }
             break;
@@ -1345,7 +1338,7 @@ static PyObject *
 #if @twoout@
     int retstatus = @name@_ctype_@oper@(arg1, arg2, &out, &out2);
 #else
-    int retstatus = @oname@_ctype_@oper@(arg1, arg2, &out);
+    int retstatus = @name@_ctype_@oper@(arg1, arg2, &out);
 #endif
 
 #if @fperr@
diff --git a/numpy/core/tests/test_scalarmath.py b/numpy/core/tests/test_scalarmath.py
index 86f33d81b0ad..65b8121a6128 100644
--- a/numpy/core/tests/test_scalarmath.py
+++ b/numpy/core/tests/test_scalarmath.py
@@ -75,17 +75,7 @@ def test_leak(self):
             np.add(1, 1)
 
 
-@pytest.mark.slow
-@settings(max_examples=10000, deadline=2000)
-@given(sampled_from(reasonable_operators_for_scalars),
-       hynp.arrays(dtype=hynp.scalar_dtypes(), shape=()),
-       hynp.arrays(dtype=hynp.scalar_dtypes(), shape=()))
-def test_array_scalar_ufunc_equivalence(op, arr1, arr2):
-    """
-    This is a thorough test attempting to cover important promotion paths
-    and ensuring that arrays and scalars stay as aligned as possible.
-    However, if it creates troubles, it should maybe just be removed.
-    """
+def check_ufunc_scalar_equivalence(op, arr1, arr2):
     scalar1 = arr1[()]
     scalar2 = arr2[()]
     assert isinstance(scalar1, np.generic)
@@ -95,6 +85,11 @@ def test_array_scalar_ufunc_equivalence(op, arr1, arr2):
         comp_ops = {operator.ge, operator.gt, operator.le, operator.lt}
         if op in comp_ops and (np.isnan(scalar1) or np.isnan(scalar2)):
             pytest.xfail("complex comp ufuncs use sort-order, scalars do not.")
+    if op == operator.pow and arr2.item() in [-1, 0, 0.5, 1, 2]:
+        # array**scalar special case can have different result dtype
+        # (Other powers may have issues also, but are not hit here.)
+        # TODO: It would be nice to resolve this issue.
+        pytest.skip("array**2 can have incorrect/weird result dtype")
 
     # ignore fpe's since they may just mismatch for integers anyway.
     with warnings.catch_warnings(), np.errstate(all="ignore"):
@@ -107,7 +102,47 @@ def test_array_scalar_ufunc_equivalence(op, arr1, arr2):
                 op(scalar1, scalar2)
         else:
             scalar_res = op(scalar1, scalar2)
-            assert_array_equal(scalar_res, res)
+            assert_array_equal(scalar_res, res, strict=True)
+
+
+@pytest.mark.slow
+@settings(max_examples=10000, deadline=2000)
+@given(sampled_from(reasonable_operators_for_scalars),
+       hynp.arrays(dtype=hynp.scalar_dtypes(), shape=()),
+       hynp.arrays(dtype=hynp.scalar_dtypes(), shape=()))
+def test_array_scalar_ufunc_equivalence(op, arr1, arr2):
+    """
+    This is a thorough test attempting to cover important promotion paths
+    and ensuring that arrays and scalars stay as aligned as possible.
+    However, if it creates troubles, it should maybe just be removed.
+    """
+    check_ufunc_scalar_equivalence(op, arr1, arr2)
+
+
+@pytest.mark.slow
+@given(sampled_from(reasonable_operators_for_scalars),
+       hynp.scalar_dtypes(), hynp.scalar_dtypes())
+def test_array_scalar_ufunc_dtypes(op, dt1, dt2):
+    # Same as above, but don't worry about sampling weird values so that we
+    # do not have to sample as much
+    arr1 = np.array(2, dtype=dt1)
+    arr2 = np.array(3, dtype=dt2)  # some power do weird things.
+
+    check_ufunc_scalar_equivalence(op, arr1, arr2)
+
+
+@pytest.mark.parametrize("fscalar", [np.float16, np.float32])
+def test_int_float_promotion_truediv(fscalar):
+    # Promotion for mixed int and float32/float16 must not go to float64
+    i = np.int8(1)
+    f = fscalar(1)
+    expected = np.result_type(i, f)
+    assert (i / f).dtype == expected
+    assert (f / i).dtype == expected
+    # But normal int / int true division goes to float64:
+    assert (i / i).dtype == np.dtype("float64")
+    # For int16, result has to be ast least float32 (takes ufunc path):
+    assert (np.int16(1) / f).dtype == np.dtype("float32")
 
 
 class TestBaseMath: