Answer
$-4k^{10/3} +24k^{4/3}$
Work Step by Step
$\begin{array}{ l l }
=-4k\cdot k^{7/3} +24k\cdot k^{1/3} & \begin{array}{l}
\mathrm{Apply\ the\ distributive\ property}\\
a( b+c) =ab+ac
\end{array}\\
& \\
=-4k^{3/3+7/3} +24k^{3/3+1/3} & \begin{array}{l}
\mathrm{Apply\ the\ rule}\\
a^{b} \cdot a^{c} =a^{b+c}
\end{array}\\
& \\
=-4k^{10/3} +24k^{4/3} & \mathrm{Add\ fractions\ to\ simplify}
\end{array}$