Find the value of (27/8) ^-2/3 give your answer as a fraction in its simplest form

4/9

Step-by-step explanation:

Start by writing it out as [ (3 root 27) / (3 root 8) ]^-2. That simplifies to (3/2) ^-2. Then you flip the numerator and denominator because of the negative exponent to get (2/3) ^2. Finally square both the top and bottom to get 4/9