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

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 (Problems • Answer Key • Resources)
Preceded by Problem 6	Followed by Problem 8
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All AJHSME/AMC 8 Problems and Solutions

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.

Revision as of 20:56, 24 June 2020 (view source) Luokev (talk \| contribs) (→‎Solution) ← Older edit		Revision as of 02:53, 16 January 2021 (view source) Hashtagmath (talk \| contribs) Newer edit →
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	Which of the following numbers is not a perfect square?		Which of the following numbers is not a perfect square?

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

Revision as of 02:53, 16 January 2021

Problem

Solution