Final answer:
To simplify the expression (2x^3z^6-8x^2)(-6xz^4), distribute the -6xz^4 to each term and simplify.
Step-by-step explanation:
To simplify the expression (2x^3z^6-8x^2)(-6xz^4), we can distribute the -6xz^4 to each term inside the parentheses:
-6xz^4 imes 2x^3z^6 - (-6xz^4 imes 8x^2)
Simplifying each term gives us:
-12x^4z^10 + 48x^3z^5
So the simplified expression is -12x^4z^10 + 48x^3z^5.