Answer:
(3/8)x^2
Step-by-step explanation:
Rewriting the given expression as follows simplifies the solution. Note that 6x^(-2) could be written as:
6
--------
x^2
Also, (0.5x)^4 = 0.0625x^4.
Then we have:
6*0.0625*x^4 0.375
---------------------- = ------------ * x^(4-2), or (3/8)x^2
x^2 1
Note that x^4 / x^2 = x^2.