For this case, we must find the value of the following expression:
[tex](\frac {2} {3}) ^ {- 4}[/tex]
By properties of powers we have that:
[tex]a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}[/tex]
Thus, we can rewrite the expression as:
[tex]\frac {1} {(\frac {2} {3}) ^ 4} =\\\frac {3 ^ 4} {2 ^ 4} =\\\frac {81} {16}[/tex]
So, we have to:
[tex](\frac {2} {3}) ^ {- 4} = \frac {81} {16}[/tex]
Answer:
[tex]\frac {81} {16}[/tex]
Option D
