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Collections are a way for you to organize kata so that you can create your own training routines. Every collection you create is public and automatically sharable with other warriors. After you have added a few kata to a collection you and others can train on the kata contained within the collection.
Get started now by creating a new collection.
All single digits raised to the 1st power are equal to themselves. I don't get what you're doing there in those examples you mentioned.
12 -> 1^1 + 2^2 = 5 which is not 12
45 -> 4^1 + 5^2 = 26 which is not 45