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: 4

Answer

a. add

Work Step by Step

To simply $x^{\frac{2}{3}}\times x^{\frac{1}{5}}$, we can add the exponents using the product rule. $x^{\frac{2}{3}}\times x^{\frac{1}{5}}=x^{(\frac{2}{3}+\frac{1}{5})}=x^{(\frac{10}{15}+\frac{3}{15})}=x^{\frac{13}{15}}$
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