Final answer:
The coefficient of the x⁹y-term in the binomial expansion of (2y + 4x³)⁴ is 1048576.
Step-by-step explanation:
The coefficient of the x⁹y-term in the binomial expansion of (2y + 4x³)⁴ can be found using the binomial theorem. The general formula for finding the coefficient of the term is given by (nCr) * a^(n-r) * b^r, where n is the power of the binomial, r is the power of the variable being considered, a is the coefficient of the first term, and b is the coefficient of the second term.
In this case, the power of the binomial is 4, the power of the variable x is 9, and the power of the variable y is 0 (since the x-term has the higher exponent). The coefficient of the x⁹y-term can be calculated as (4C9) * (2y)^0 * (4x³)⁹ = 4 * 1 * (4^9) = 4 * 262144 = 1048576.
Therefore, the correct answer is not listed among the given options. The coefficient is 1048576.