diff --git a/poincare/src/simplification/demo_ruleset.prs b/poincare/src/simplification/demo_ruleset.prs
index e3204fd1e..08c5580b1 100644
--- a/poincare/src/simplification/demo_ruleset.prs
+++ b/poincare/src/simplification/demo_ruleset.prs
@@ -2,13 +2,21 @@ DemoRuleset
 
 // 0*a -> 0
 Multiplication.a(Integer.b[0]) -> ReplaceWithTransform(a,b);
+
 // 1*a -> a
 //Multiplication.a(Integer.b[1]) -> RemoveChildTransform(a,b);
+
 // a+0 -> a
 //Addition.a(Integer.b[0]) -> RemoveChildTransform(a,b);
+
 // a^1 -> a
 Power.a(Any.b,Integer.c[1]) -> ReplaceWithTransform(a,b);
 
+// 1^a -> 1
+Power.a(Integer.b[1], Any) -> ReplaceWithTransform(a,b);
+
+//a^0 -> 1
+
 // Remove parenthesis
 Parenthesis.a -> RemoveParenthesisTransform(a);