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Find last digit, last two digits , and last three digits of17^256

Find last digit, last two digits , and last three digits  of17^256

Grade:12th Pass

1 Answers

Ayush Anand
126 Points
5 years ago
To solve these types of problems we first need to convert power of the number into exponents and base.
Note that 256 is a power of 2, specifically, 256=2. So we could recursively determine the last three digits:

=289217

 2=2894 17=83521

817 ends in =271441 2521

6171 ends in =194481 2441

3217 ends in =2313612481

6417 ends in =1303212361

12817 ends in =1030412321

25617 ends in =16812041

Therefore the last three digits of 256  17are 681.

 

Thanks!!!

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