Problem of the Week

Problem D

More Power, Mr. Scott!

Mr. Scott likes to pose interesting problems to his Mathematics classes. Today, he started with the expression $$6^{2020}+7^{2020}$$. He stated that the expression was not equivalent to $$13^{2020}$$ and that he was not interested in the actual sum. His question to his class and to you is, “What are the final two digits of the sum?”