Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 7 - Section7.2 - Rational Exponents - Vocabulary, Readiness & Video Check: 6

Answer

b. subtract

Work Step by Step

To simplify $\frac{x^{\frac{2}{3}}}{x^{\frac{1}{5}}}$, we can subtract the exponents using the quotient rule. $\frac{x^{\frac{2}{3}}}{x^{\frac{1}{5}}}=x^{(\frac{2}{3}-\frac{1}{5})}=x^{(\frac{10}{15}-\frac{3}{15})}=x^{\frac{7}{15}}$
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