Answer
$2z^2w^3$
Work Step by Step
$\bf{\text{Solution Outline:}}$
To simplify the given expression, $
\sqrt[]{23k^9p^{14}}
,$ find a factor of the radicand that is a perfect power of the index. Then extract the root of that factor. Note that all variables are assumed to represent positive real numbers.
$\bf{\text{Solution Details:}}$
Expressing the radicand of the expression above with a factor that is a perfect power of the index and then extracting the root of that factor results to
\begin{array}{l}\require{cancel}
\sqrt[3]{8z^6w^9}
\\\\=
\sqrt[3]{(2z^2w^3)^3}
\\\\=
2z^2w^3
.\end{array}