Question

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

Answer 1

`-162x^10y^15z^13`

Explanation:

Given:
`(-2x^2y^3z)*(-3x^2y^3z^3)^4`

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

`(-2x^2y^3z)*(81x^8y^12z^12)`

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

`-162x^10y^15z^13`.