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 - Exercise Set: 51

Answer

$\dfrac{b^{1/2}b^{3/4}}{-b^{1/4}}=-b$

Work Step by Step

$\dfrac{b^{1/2}b^{3/4}}{-b^{1/4}}$ Evaluate the product in the numerator: $\dfrac{b^{1/2}b^{3/4}}{-b^{1/4}}=\dfrac{b^{1/2+3/4}}{-b^{1/4}}=\dfrac{b^{5/4}}{-b^{1/4}}=...$ Evaluate the division: $...=-b^{5/4-1/4}=-b^{4/4}=-b$
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