perplexus.info :: Just Math : Staggering Digits

Staggering Digits (Posted on 2016-07-28)

Find the last three digits of this number:

9^{7^{5^3²}}

*** For an extra challenge, solve this puzzle without using a computer program.

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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Solution

| Comment 1 of 4

It is 9^210

9^10 last three are 401

401^5 last three are 001.

9^50, 9^100, 9^150, 9^200 last three are 001.

So last three of 9^210=9^200*9^10 are 401

Edited on July 28, 2016, 12:58 pm

Posted by armando on 2016-07-28 12:34:14

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