Worked Solution #3 of 5, increasing in difficulty.

Expand the following:

\begin{align} \quad\quad\quad\quad\quad\quad\quad\quad\Large {( \ 4 \ x^{3} \ y^{-2} \ z^{4} \ )^{2} } \\ \\ &\cssId{Step1}{\Large = { ( \ 4^{2} \ ) \ ( \ x^{3} \ y^{-2} \ z^{4} \ )^{2} }} \\ \\ &\cssId{Step2}{\Large = { 16 \ ( \ x^{3} \ y^{-2} \ z^{4} \ )^{2} }} \\ \\ &\cssId{Step3}{\Large = { 16 \ x^{6} \ y^{-4} \ z^{8} }} \\ \\ \end{align}