Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 8 - Section 8.6 - Rational Exponents - Exercise Set - Page 614: 14



Work Step by Step

RECALL: (i) $a^{\frac{1}{2}}=\sqrt{a}$ (ii) $\sqrt{a^2}=|a|$ Use rule (i) above to obtain: $=\sqrt{\frac{1}{25}}$ Write $\frac{1}{25}$ as $(\frac{1}{5})^2$: $=\sqrt{(\frac{1}{5})^2}$ Use rule (ii) above to obtain: $=|\frac{1}{5}| \\=\frac{1}{5}$
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