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: 52

Answer

$\dfrac{a^{1/4}a^{-1/2}}{a^{2/3}}=\dfrac{1}{a^{11/12}}$

Work Step by Step

$\dfrac{a^{1/4}a^{-1/2}}{a^{2/3}}$ Evaluate the product in the numerator: $\dfrac{a^{1/4}a^{-1/2}}{a^{2/3}}=\dfrac{a^{1/4-1/2}}{a^{2/3}}=\dfrac{a^{-1/4}}{a^{2/3}}=...$ Evaluate the division. Remember to provide an answer without negative exponents: $...=a^{-1/4-2/3}=a^{-11/12}=\dfrac{1}{a^{11/12}}$
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