Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 7 - Section 7.2 - Rational Exponents - 7.2 Exercises - Page 448: 9


D. $-\sqrt 6$

Work Step by Step

As shown on page 445, we know that $a^{\frac{m}{n}}=\sqrt[n] a^{m}=(\sqrt[n] a)^{m}$. Therefore, $-6^{\frac{2}{4}}=-(6^{\frac{2}{4}})=-(6^{\frac{2\div2}{4\div2}})=-(6^{\frac{1}{2}})=-(\sqrt[2] 6^{1})=-(\sqrt 6)=-\sqrt 6$.
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