[tex]a) \ \frac{5^2}{5} = \frac{25}{5} = \boxed{5}[/tex]
[tex]b) \ \frac{(-3)^5}{3} = \frac{-243}{3} = \boxed{-81}[/tex]
[tex]c) \ \frac{4}{(-4)^2} = \frac{4}{16} = \boxed{\frac{1}{4}}[/tex]
[tex]d) \ \frac{-2^4}{8} = \frac{-16}{8} = \boxed{-2}[/tex]