Two Nasty Exponent Mistakes

<p><a target="_blank" href="https://www.prepswift.com/quizzes/quiz/prepswift-two-nasty-exponent-mistakes">Two Nasty Exponent Mistakes Exercise</a></p><p><strong>Nasty Mistake 1:</strong> $\sqrt{(x+y)^2} \neq x+y$<br /> Remember with a square root, the result must be non-negative. This should actually be $|x+y|$.</p> <p><strong>Nasty Mistake 2:</strong> $2^{2^{2^{2}}} \neq 2^8$<br /> If there are no parenthesis, you need to evaluate exponents from the top-right, working downwards:</p> <p>$2^{2^{(2^{2})}} = 2^{(2^{4})} = 2^{16} = 65536$</p>