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What is the digit in the tens place when 7^2005 is expressed in decimal notation?

 Sep 23, 2020
 #1
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7^2005 % 10^10 =6088416807  - The tens digit is "zero".

 Sep 23, 2020
 #2
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can you explain a little bit more how you got that?

 

thanks

 Sep 23, 2020
 #3
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7^2005 = 2.6397951619824450567257574123295e+1694

If you raise 7 to power of 2005 you get the above number, which is 1695 digits long! And the last 10 digits of it are ..........6,088,416,807.

Guest Sep 23, 2020

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