Answer:
2 14/25
Step-by-step explanation:
16/(2+1/2)^2 . simplify 2+1/2 to 5/2
16/(5/2)^2
16/5^2/2^2
16/25/4
16*4/25
64/25
2 14/25
PEMDAS "P" is first, "E" second and then "D" is last
[tex]16\div \left( 2+\frac{1}{2} \right)^2\implies 16\div \left( \frac{2}{1}+\frac{1}{2} \right)^2\implies 16\div \left( \cfrac{4+1}{\underset{\textit{using this LCD}}{2}} \right)^2 \\\\\\ 16\div\left( \cfrac{5}{2} \right)^2\implies 16\div\cfrac{5^2}{2^2}\implies 16\div\cfrac{25}{4}\implies \cfrac{16}{1}\div\cfrac{25}{4}\implies \cfrac{16}{1}\cdot \cfrac{4}{25} \\\\\\ \cfrac{64}{25}\implies 2\frac{14}{25}[/tex]