Determine the data type of the expression

$\Big(\dfrac{2x + 3y}{5w + 6z} + \dfrac{8p}{5q}\Big)^4$

if x is int, y is long, w is float, z is double, p is short and q is long double.

The result will be of long double data type.

Explanation

$\Big(\dfrac{\text{int} + \text{long}}{\text{float} + \text{double}} + \dfrac{\text{short}}{\text{long double}}\Big)^4 \\[1em] \Rightarrow \Big(\dfrac{\text{long}}{\text{double}} + \dfrac{\text{short}}{\text{long double}}\Big)^4 \\[1em] \Rightarrow \Big(\text{double} + \text{long double}\Big)^4 \\[1em] \Rightarrow \text{long double}$