Difference between revisions of "2016 AMC 8 Problems/Problem 7"

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==Problem==
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Which of the following numbers is not a perfect square?
 
Which of the following numbers is not a perfect square?
  

Latest revision as of 02:53, 16 January 2021

Problem

Which of the following numbers is not a perfect square?

$\textbf{(A) }1^{2016}\qquad\textbf{(B) }2^{2017}\qquad\textbf{(C) }3^{2018}\qquad\textbf{(D) }4^{2019}\qquad \textbf{(E) }5^{2020}$

Solution

Our answer must have an odd exponent in order for it to not be a square. Because $4$ is a perfect square, $4^{2019}$ is also a perfect square, so our answer is $\boxed{\textbf{(B) }2^{2017}}$.

2016 AMC 8 (ProblemsAnswer KeyResources)
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Problem 6
Followed by
Problem 8
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