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

1 Answer
Nov 25, 2017

#-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#.