Difference between revisions of "2013 AMC 8 Problems/Problem 15"
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<math>216*6=1296=6^4</math>. | <math>216*6=1296=6^4</math>. | ||
Revision as of 13:33, 27 November 2013
Problem
If ,
, and
, what is the product of
,
, and
?
Solution
This can be brute-forced.
,
, and
.
So
and
. To find
you need to memorize what is special about
, but if you haven't,
.
Therefore the answer is .
See Also
2013 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 14 |
Followed by Problem 16 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AJHSME/AMC 8 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.