Difference between revisions of "2016 AMC 8 Problems/Problem 7"
(→Solution) |
Reaganchoi (talk | contribs) m |
||
| Line 4: | Line 4: | ||
==Solution== | ==Solution== | ||
| − | We know that our answer must have an odd exponent in order for it to not be a square. We can rewrite <math>4^2019</math> as <math>2^4028</math>, so our answer must be <math>\boxed{\textbf{(B) }2^{2017}}</math> | + | We know that our answer must have an odd exponent in order for it to not be a square. We can rewrite <math>4^{2019}</math> as <math>2^{4028}</math>, so our answer must be <math>\boxed{\textbf{(B) }2^{2017}}</math> |
{{AMC8 box|year=2016|num-b=6|num-a=8}} | {{AMC8 box|year=2016|num-b=6|num-a=8}} | ||
{{MAA Notice}} | {{MAA Notice}} | ||
Revision as of 08:47, 23 November 2016
Which of the following numbers is not a perfect square?
Solution
We know that our answer must have an odd exponent in order for it to not be a square. We can rewrite 
as 
, so our answer must be 
| 2016 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 6 |
Followed by Problem 8 | |
| 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. 
