2010 AMC 8 Problems/Problem 24
Contents
Problem
What is the correct ordering of the three numbers, ,
, and
?
Solution 1
Use brute force.
,
, and
.
Therefore,
is the answer.
Solution ![$2$](//latex.artofproblemsolving.com/4/1/c/41c544263a265ff15498ee45f7392c5f86c6d151.png)
Since all of the exponents are multiples of four, we can simplify the problem by taking the fourth root of each number. Evaluating we get ,
, and
. Since
, it follows that
is the correct answer.
See Also
2010 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 23 |
Followed by Problem 25 | |
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 |
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