For this case we have that by definition of power properties:
[tex]a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}[/tex]
We have the following expression:
[tex](- \frac {3} {4}) ^ {- 4}[/tex]
We can rewrite it as:
[tex](- \frac {3} {4}) ^ {- 4} = \frac {1} {(- \frac {3} {4}) ^ {4}} = \frac {1} {\frac { 3 ^ 4} {4 ^ 4}} =[/tex]
Applying double c we have:
[tex] \frac {4 ^ 4} {3 ^ 4} = \frac {256} {81}[/tex]
Answer:
Option D
