Respuesta :

To solve this, we can follow the next steps:

[tex](-\frac{1}{2})^{-4}=(\frac{1}{-\frac{1}{2}})^4=\frac{1^4}{(-\frac{1}{2}_{})^4}=\frac{1}{\frac{1}{2^4}}=\frac{1}{\frac{1}{16}}=16[/tex]

Then, the result of the expression is 16.