diff --git a/quaternion.lua b/quaternion.lua
index d06ba1c..eaa7d4d 100644
--- a/quaternion.lua
+++ b/quaternion.lua
@@ -29,7 +29,7 @@ function multiply(self, other)
 end
 
 function normalize(self)
-	local len = math.sqrt(self[1] ^ 2 + self[2] ^ 2 + self[3] ^ 2 + (self[4] ^ 4))
+	local len = math.sqrt(self[1] ^ 2 + self[2] ^ 2 + self[3] ^ 2 + self[4] ^ 2)
 	local res = {}
 	for key, value in pairs(self) do
 		res[key] = value / len