# Chapter R - Section R.6 - Rational Exponents - R.6 Exercises - Page 56: 39

$13$

#### Work Step by Step

Using $a^{m/n}=\sqrt[n]{a^m}=(\sqrt[n]{a})^m$ the given expression, $169^{1/2} ,$ simplifies to \begin{array}{l}\require{cancel} \sqrt{169^1} \\\\= \sqrt{169} \\\\= \sqrt{(13)^2} \\\\= 13 .\end{array}

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