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: 9

Answer

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, $-6^{\frac{2}{4}}=-(6^{\frac{2}{4}})=-(6^{\frac{2\div2}{4\div2}})=-(6^{\frac{1}{2}})=-(\sqrt[2] 6^{1})=-(\sqrt 6)=-\sqrt 6$.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.