Question

The last digit of 3power 2013 is

Answer 1

Many mathematical contests ask students to find the last digit (or digits) of a power. In most cases, the powers are quite large numbers such as or so that computing the power itself is out of the question.

However, there are a number of tools, such as modular arithmetic, the Chinese remainder theorem, and Euler's theorem that serve as shortcuts to finding the last digits of an expanded power. Solving these types of problems gives a down-to-earth introduction to these techniques of elementary number theory.

Answer 2

here is ur answer


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