Answer:
[tex]\frac{25}{16}[/tex]
Step-by-step explanation:
Apply exponent rule: [tex]x^{-y}=\frac{1}{x^y}[/tex]
[tex](\frac{4}{5}) ^{-2}=\frac{1}{\left(\frac{4}{5}\right)^2}=\frac{1}{\frac{16}{25}}=\frac{25}{16}[/tex]