What is #(4x^2)/(y) * (xy^2)/(12)#?
I always use the following approach in simplifying the multiplication and division of fractions like these in algebra.
Done once, you do not need to look at it again.
An EVEN number of negative signs will give a POSITIVE
An ODD number of negative signs will give a NEGATIVE
Step 3 simplify the numbers, cancel first if possible.
Step 4 combine all the variables to give one numerator and one denominator.
Step 5 Simplify the indices of like bases.
Using the property called commutative. (can travel
Using an example:
Notice the way the denominators are able to swap round without changing the final value