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

 Oct 20, 2020
 #1
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11^2005 =........... 9135081051 - These are the last 10 digits

OR:

11^1 =11

11^2 =121

11^3 =1331

11^4 =14,641

11^5 =161,051

11^6 =1,771,561

11^7 =19,487,171

11^8 =214,358,881

22^9 =2,357,947,691

Notice the pattern in ones digit = 1 and the tens digit = the last digit of the exponent = 5

 Oct 20, 2020

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