Simplify the expression (y^2z)(yz^2) . Write the variables in alphabetical order.

To simplify the expression $(y^{2}z)(yz^{2})$, we need to multiply the terms together.<br /><br />Step 1: Multiply the coefficients.<br />There are no coefficients in this expression, so we can skip this step.<br /><br />Step 2: Multiply the variables.<br />We have $y^{2}z$ and $yz^{2}$, so we need to multiply the $y$ terms and the $z$ terms separately.<br /><br />For the $y$ terms:<br />$y^{2} \cdot y = y^{3}$<br /><br />For the $z$ terms:<br />$z \cdot z^{2} = z^{3}$<br /><br />Step 3: Combine the simplified terms.<br />$(y^{2}z)(yz^{2}) = y^{3}z^{3}$<br /><br />Therefore, the simplified expression is $y^{3}z^{3}$.