Difference between revisions of "2021 Fall AMC 10A Problems/Problem 12"
Aidensharp (talk | contribs) (Created page with "==Problem== The base-nine representation of the number <math>N</math> is <math>27,006,000,052_{\text{nine}}</math>. What is the remainder when <math>N</math> is divided by <ma...") |
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Revision as of 18:38, 22 November 2021
Problem
The base-nine representation of the number is
. What is the remainder when
is divided by
?
Solution
Using module rules, we can find the remainder:
Thus, the answer is or
.
-Aidensharp