Answer: B, 64
Step-by-step explanation:
To simplify this, first simplify all the parenthesis and multiply.
When an entire expression is raised to another exponent, everything in the parentheses is raised to that degree.
As such:
[tex](2w^{-2}})^3 = 8 * w^{-6[/tex]
You can then multiply this and the other expression:
[tex]8w^{-6} * 8w^6 = 8 * 8 * w^6 * w^{-6} = 64 * w^0[/tex]
As such, the correct choice is B. The 'w's cancel each other out.
