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What is the digit in the tens place when 11^(2005) is expressed in decimal notation?

 Jan 20, 2022
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We can use a pattern of the last two digits for power's of 11. 11,21,31,41,51,61,71,81,91,01 So every 10th power has 01 at the end, now we can count 5 more time to get to the tens digit being 5.

So the digit in the tens place is 5.

 Jan 20, 2022

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