[(5/2)^4)×(3-1/2)^2] ×(5/2)^2 :[(-5/2)^6]^2 - 5/2=
[(5/2)^4)×(3-1/2)^2] ×(5/2)^2 :[(-5/2)^6]^2 - 5/2=
$[(\frac{5}{2})^4(3-\frac{1}{2})^2]^2(\frac{5}{2})^2÷[(-\frac{5}{2})^6]^2-\frac{5}{2}$
$[(\frac{5}{2})^4(\frac{5}{2})^2]^2(\frac{5}{2})^2÷(-\frac{5}{2})^6]^2-\frac{5}{2}$
$[(\frac{5}{2})^{4+2}]^2(\frac{5}{2})^2÷[(-\frac{5}{2})^6]^2-\frac{5}{2}$
$[(\frac{5}{2})^6]^2(\frac{5}{2})^2÷[(-\frac{5}{2})^6]^2-\frac{5}{2}$
$(\frac{5}{2})^{6*2}(\frac{5}{2})^2÷[(-\frac{5}{2})^6]^2-\frac{5}{2}$
$(\frac{5}{2})^{12}(\frac{5}{2})^2÷[(-\frac{5}{2})^6]^2-\frac{5}{2}$
$(\frac{5}{2})^{12+2}÷(-\frac{5}{2})^{6*2}-\frac{5}{2}$
$(\frac{5}{2})^{14}÷(-\frac{5}{2})^{12}-\frac{5}{2}$
$(\frac{5}{2})^{14-12}-\frac{5}{2}$
$(\frac{5}{2})^{2}-\frac{5}{2}$
$(\frac{25}{4})-\frac{5}{2}$
$(\frac{25-10}{4})=\frac{15}{4}$