2016 AMC 8 Problem 7

Attempt Problem 7 of the 2016 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2016 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

Which of the following numbers is not a perfect square?

$1^{2016}$

$2^{2017}$

$3^{2018}$

$4^{2019}$

$5^{2020}$

Answer: B

Concepts:perfect square exponent

Difficulty rating: 870

Video solution:

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Written solution:

Since any number with an even exponent is a perfect square, we can eliminate A, C, and E. Also, a square number to any power remains a square number, so that rules out D.

Thus, B is the correct answer.

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