Final answer:
The least common multiple (LCM) of x^4 and x^(-x-2x^3x) is x^4-x.
Step-by-step explanation:
The given question is asking for the least common multiple (LCM) of the expressions x^4 and x^(-x-2x^3x).
To find the LCM of these expressions, we need to determine the highest power of each variable that appears in either expression. In this case, the highest power of x that appears in x^4 is 4, and the highest power of x in x^(-x-2x^3x) is -x.
Therefore, the LCM of x^4 and x^(-x-2x^3x) is x^4-x.