# How do you multiply and simplify (- 2x ^ { 2} y ^ { 3} z ) ( - 3x ^ { 2} y ^ { 3} z ^ { 3} ) ^ { 4}?

Nov 25, 2017

$- 162 {x}^{10} {y}^{15} {z}^{13}$

#### Explanation:

Given:
$\left(- 2 {x}^{2} {y}^{3} z\right) \cdot {\left(- 3 {x}^{2} {y}^{3} {z}^{3}\right)}^{4}$

We square the second part of the equation twice to arrive at the result below:

$\left(- 2 {x}^{2} {y}^{3} z\right) \cdot \left(81 {x}^{8} {y}^{12} {z}^{12}\right)$

From here, group the like terms together and multiply them as so;

$- 162 {x}^{10} {y}^{15} {z}^{13}$.