diff --git a/pytensor/tensor/rewriting/math.py b/pytensor/tensor/rewriting/math.py
index 01aae569e0..06d023d780 100644
--- a/pytensor/tensor/rewriting/math.py
+++ b/pytensor/tensor/rewriting/math.py
@@ -2120,10 +2120,6 @@ def local_pow_to_nested_squaring(fgraph, node):
                 rval = [rval1]
         if rval:
             rval[0] = cast(rval[0], odtype)
-            # TODO: We can add a specify_broadcastable and/or unbroadcast to make the
-            #  output types compatible. Or work on #408 and let TensorType.filter_variable do it.
-            if rval[0].type.broadcastable != node.outputs[0].type.broadcastable:
-                return None
             return rval
 
 
diff --git a/tests/tensor/rewriting/test_math.py b/tests/tensor/rewriting/test_math.py
index 49b417fde4..84322989bf 100644
--- a/tests/tensor/rewriting/test_math.py
+++ b/tests/tensor/rewriting/test_math.py
@@ -29,7 +29,7 @@
 from pytensor.graph.rewriting.utils import is_same_graph, rewrite_graph
 from pytensor.misc.safe_asarray import _asarray
 from pytensor.printing import debugprint
-from pytensor.scalar import PolyGamma, Pow, Psi, TriGamma
+from pytensor.scalar import PolyGamma, Psi, TriGamma
 from pytensor.tensor import inplace
 from pytensor.tensor.basic import Alloc, constant, join, second, switch
 from pytensor.tensor.blas import Dot22, Gemv
@@ -1757,7 +1757,7 @@ def test_local_pow_to_nested_squaring():
     utt.assert_allclose(f(val_no0), val_no0 ** (-16))
 
 
-def test_local_pow_to_nested_squaring_fails_gracefully():
+def test_local_pow_to_nested_squaring_works_with_static_type():
     # Reported in #456
 
     x = vector("x", shape=(1,))
@@ -1771,12 +1771,6 @@ def test_local_pow_to_nested_squaring_fails_gracefully():
 
     fn = function([x], y)
 
-    # Check rewrite is not applied (this could change in the future)
-    assert any(
-        (isinstance(node.op, Elemwise) and isinstance(node.op.scalar_op, Pow))
-        for node in fn.maker.fgraph.apply_nodes
-    )
-
     np.testing.assert_allclose(fn([2.0]), np.array([4.0]))