Answer
$\color{blue}{9p^6+3p^3}$
Work Step by Step
RECALL:
(1) $a(b+c) = ab + ac$
(2) $a^m \cdot a^n = a^{m+n}$
Use rule (1) above to obtain:
$=p^{11/5} \cdot 3p^{4/5} +p^{11/5} \cdot 9p^{19/5}$
Use rule (2) above to obtain:
$=3p^{11/5+4/5} + 9p^{11/5+19/5}
\\=3p^{15/5} + 9p^{30/5}
\\=3p^3 +9p^6
\\=\color{blue}{9p^6+3p^3}$