Final answer:
The correct answer to 4x^2 raised to the fourth power is 256x^8. The provided options do not list this answer, implying there may be an error in the question or the provided options.
Step-by-step explanation:
The question asks us to calculate 4x^2 raised to the fourth power. Using the rule of exponents which states that when we raise a power to a power, we multiply the exponents, we get (4x^2)^4 = 4^4 * x^(2*4) = 256x^8. Therefore, neither option A, B, C, nor D is correct, as they do not offer 256x^8 as an answer. The student might be expected to distribute the exponent to both the coefficient (4) and the variable part (x^2) separately, which is why they provided those options; however, it is essential to apply the exponent to the entire term inside the parentheses, which includes both the numerical coefficient and the variable portion.