Monday, February 22, 2010

Last Digit

What is the last digit of 24784337^38383822458 ?

- Shpilo

Labels:

3 Comments:

Anonymous Wizard of Oz said...

9.
The powers of 7 cycle through 7, 9, 3, 1, 7, . . .
Divide 38383822458 by 4 and the remainder is 2.
This corresponds to the second power of 7 which is 49, and so the required power also ends in 9.

February 23, 2010 12:49 AM  
Blogger Chris said...

Wiz. Nice one. I've responded to your comment under "six take a test".

February 23, 2010 1:00 AM  
Blogger Ross said...

The FIRST digit is 2, and there are 283816788925 digits total. :-)

February 24, 2010 1:44 PM  

Post a Comment

Links to this post:

Create a Link

<< Home