Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 10 - Section 10.2 - Rational Exponents - Practice: 13



Work Step by Step

Step 1: $-256^{-\frac{3}{4}}$ Step 2: $\frac{1}{(-256)^{\frac{3}{4}}}$ Step 3: Since $4^{4}=256$, the expression becomes $\frac{1}{(-4^{4})^{\frac{3}{4}}}$ Step 4: Simplifying the indexes, the expression becomes $\frac{1}{(-4)^{3}}$ Step 5: This can be simplified as $\frac{1}{-64}$ or $-\frac{1}{64}$
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