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What is the remainder when 732^732 is divided by 27?
What is the remainder when 732^732 is divided by 27?
Let me see, 732^732 is a very large number, but we can use some properties of numbers to find the remainder when it is divided by 27. The key is to understand that 27 is equal to 3^3, so we can use the rules of modular arithmetic to simplify the problem. We can reduce 732 mod 27, which is equal to 6, and then we can use the fact that (a * b) mod n is equal to [(a mod n) * (b mod n)] mod n.