Finding the Last Digits of a Number with a Large Exponent

My brother does some kind of maths challenge through his school. Sometimes I get a little bit involved this time I was asked how to find the last 3 digits of a large number that won't fit on the calculator: 3^1994. I wasn't sure how to go about this but after some reading I found…

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Finding the Last Digits of a Number with a Large Exponent