Chapter R - Section R.6 - Rational Exponents - R.6 Exercises - Page 57: 76

$3p^{3}+9p^{6}$

Using the Distributive Property, the given expression, $ p^{11/5}(3p^{4/5}+9p^{19/5}) ,$ simplifies to \begin{array}{l}\require{cancel} p^{11/5}(3p^{4/5})+p^{11/5}(9p^{19/5}) \\\\= 3p^{\frac{11}{5}+\frac{4}{5}}+9p^{\frac{11}{5}+\frac{19}{5}} \\\\= 3p^{\frac{15}{5}}+9p^{\frac{30}{5}} \\\\= 3p^{3}+9p^{6} .\end{array}