# How do you evaluate (5x ^ { 2} z ^ { 3} - 9z ^ { 4} ) ( - 2x ^ { 6} z )?

Nov 26, 2017

$- 10 {x}^{8} {z}^{4} + 18 x {z}^{5}$

#### Explanation:

Multiply the two parts together.

You can separate it, if that’s easier.

$= \left(5 {x}^{2} {z}^{3}\right) \left(- 2 {x}^{6} z\right) - \left(9 {z}^{4}\right) \left(- 2 {x}^{6} z\right)$

$= \left(- 10 {x}^{8} {z}^{4}\right) - \left(- 18 x {z}^{5}\right)$

$= \left(- 10 {x}^{8} {z}^{4} + 18 x {z}^{5}\right)$