In order to simplify this expression, we'll need to carry out the operation which is the multiplication of two expressions here.
We multiply the term (-3x^(-3)) with each term in the expression (8x^(-3) - 4x^2).
Step 1: Begin by multiplying the first term. Multiply 8x^(-3) by -3x^(-3).
This will give us -24*(1/x^6) or -24/x^6.
Thus, the first term simplifies to -24/x^6.
Step 2: Next, multiply -4x^2 by -3x^(-3).
This multiplication results in 12*(1/x) or 12/x.
Hence, the second term simplifies to 12/x.
Finally, put these two results together to show the multiplied and simplified expression:
Therefore, the answer is 12/x - 24/x^6.