Worked Solution #5 of 5, increasing in difficulty.

Expand the following:

\begin{align} \quad\quad\quad\quad\quad\quad\quad\quad\Large {( \ 12 \ x^{4} \ y^{-6} \ z^{2} \ )}{( \ {4} \ x^{2} \ y^{3} \ z^{-2} )}\\ \\ &\cssId{Step1}{\Large = {48 \ x^{4} \ y^{-6} \ z^{2} \ x^{2} \ y^{3} \ z^{-2} }}\\ \\ &\cssId{Step2}{\Large = {48 \ x^{4} \ x^{2} \ y^{-6} \ y^{3} \ z^{2} \ z^{-2} }}\\ \\ &\cssId{Step3}{\Large = {48 \ x^{4+2} \ y^{-6+3} \ z^{2-2} }}\\ \\ &\cssId{Step4}{\Large = {48 \ x^{6} \ y^{-3} \ z^{0} }}\\ \\ &\cssId{Step5}{\Large = {48 \ x^{6} \ y^{-3} }}\\ \\ \end{align}