#### Answer

$a^7$

#### Work Step by Step

Using the properties of radicals, the given expression, $
\sqrt[]{a^{14}}
,$ simplifies to
\begin{array}{l}
\sqrt[]{(a^7)^{2}}
\\\\=
a^7
.\end{array}
Note that it is assumed that no radicand was formed by raising negative quantities to even powers. Thus, absolute value bars are not necessary.