Final answer:
To evaluate the expression (5/2)^2 + 3^3/4, we simplify each part separately, then add the results. The final value of the expression is 13.
Step-by-step explanation:
To evaluate the expression (5/2)^2 + 3^3/4, we'll start by simplifying each part separately.
The first part, (5/2)^2, means we raise 5/2 to the power of 2. To do that, we multiply the numerator and denominator of 5/2 by itself:
(5/2)^2 = (5/2) x (5/2) = 25/4.
The second part, 3^3/4, means we raise 3 to the power of 3, and divide the result by 4:
3^3/4 = 27/4.
Now we can add the two simplified parts together:
(5/2)^2 + 3^3/4 = 25/4 + 27/4 = 52/4 = 13.