Final answer:
To simplify the expression 4x^10y^6/18x^6y^4, cancel out common factors in the numerator and denominator to get 2x^4y^2/9.
Step-by-step explanation:
To simplify the expression 4x10y6}/{18x6y4}, we can cancel out common factors in the numerator and denominator. Cancel out x6 from the numerator and denominator, as well as y4 from the numerator and denominator. This leaves us with 4x4y2}/{18}. We can simplify further by dividing both the numerator and denominator by 2. This gives us the simplified expression 2x4y2}/{9}.