Final answer:
To simplify the expression -9w^6(-2w^2+6w), distribute the -9w^6 across the terms in the parentheses to get 18w^8 - 54w^7 as the simplified expression.
Step-by-step explanation:
The student has asked us to simplify the expression -9w6(-2w2+6w) by rewriting it without parentheses and then to simplify as much as possible. To do this, we distribute the -9w6 across each term inside the parentheses and simplify.
First, multiply -9w6 by -2w2 which gives us 18w8.
Then, multiply -9w6 by +6w which gives us -54w7.
Combining these, we have 18w8 - 54w7, which is the simplified expression.