Question

Find the product. In the form of a paragraph, explain in complete sentences the steps necessary to simplify the expression and include the final answer in your explanation. Complete your work in the space provided or upload a file that can display math symbols if your work requires it.
( x y 2 z)3 (-9x 2 y z)2

Answer 1

I believe the simplest approach here would be to rewrite (xy^2z)^3 as follows:

x^3 y^6 z^3, and (-9x^2yz)^2 as 81x^4y^2z^2.

Now, multiply   x^3 y^6 z^3 * 81x^4y^2z^2.

81x^3x^4 comes out to 81x^7.  y^6*4y^2 comes out to 4y^8.  Finally, z^3(z^2) comes out to z^5.  Now string these 3 products together to obtain your final answer.