Final answer:
To simplify the expression, multiply the numerators and denominators separately and combine like terms.
Step-by-step explanation:
To simplify the expression 4m−2n÷(4×2mn−3×n⁴), we can start by multiplying the numerators and denominators separately. This gives us 4m - 2n divided by 8mn - 3n⁴. Next, we can combine like terms by subtracting the exponents of 'm' and 'n'. So we have (4m - 2n) divided by (8mn - 3n⁴).