Which of the following interpretations for the given expression is correct? ((x+y)/(2))^n A. The sum of (x)/(2) and y, raised to the power of n. B. The product of the quotient of x and 2 and (y)/(2) raised to the power of n. C. The quotient of (x+y)^n and 2. D. The quotient of (x+y) and 2, raised to the power of n.

The correct interpretation for the given expression $(\frac {x+y}{2})^{n}$ is:<br /><br />D. The quotient of $(x+y)$ and 2, raised to the power of n.<br /><br />Explanation: The expression $(\frac {x+y}{2})^{n}$ represents the quotient of $(x+y)$ and 2, raised to the power of n. This means that the sum of x and y is divided by 2, and then the result is raised to the power of n.