# Chapter 10 - Exponents and Radicals - Review Exercises: Chapter 10 - Page 693: 17

$(5ab)^{4/3}$

#### Work Step by Step

Using the definition of rational exponents which is given by $a^{\frac{m}{n}}=\sqrt[n]{a^m}=\left(\sqrt[n]{a}\right)^m,$ the given expression is equivalent to \begin{array}{l}\require{cancel} \left(\sqrt[3]{5ab}\right)^4 \\\\= (5ab)^{4/3} .\end{array}

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.