Answer: The required simplified expression is -6xy.
Step-by-step explanation: We are given to simplify the following rational expression :
![E=-(18x^2y)/(3x)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/7ouhcbv74qy51el3356neu5d1pe37p6yqb.png)
We will be using the following property of exponents :
![(z^a)/(z^b)=z^(a-b).](https://img.qammunity.org/2020/formulas/mathematics/middle-school/kv7su9hsuao7je6i7evmh0wwsv9jmahwwz.png)
From expression (i), we get
![E\\\\\\=-(18x^2y)/(3x)\\\\\\=-(18)/(3)x^(2-1)y\\\\=-6xy.](https://img.qammunity.org/2020/formulas/mathematics/middle-school/a8hz3x6rye7hlxjnf20no34frmydabqcte.png)
Thus, the required simplified expression is -6xy.