#### Answer

$21p^{9}+7p^{8}+14p^{7}$

#### Work Step by Step

Using the laws of exponents and the Distributive Property, the given expression, $
7p^5(3p^4+p^3+2p^2)
,$ simplifies to
\begin{array}{l}\require{cancel}
7p^5(3p^4)+7p^5(p^3)+7p^5(2p^2)
\\\\=
21p^{5+4}+7p^{5+3}+14p^{5+2}
\\\\=
21p^{9}+7p^{8}+14p^{7}
.\end{array}