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

Guest Jan 20, 2022

#1**+1 **

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.

ImDecentAtMath Jan 20, 2022