Let's break this down step by step:
(1/2)^2 = 1/4
(2/√3)^-4 = (2√3)^4 = 16/9
3^-2 = 1/9
Now we can plug these values back into the equation:
1/4 + 16/9 * 1/9
Now, let's simplify further:
1/4 + 16/81
To add these fractions, we need a common denominator, which in this case is 4*81 = 324:
81/324 + 64/324 = 145/324
Therefore, the final answer is 145/324.
Let's break this down step by step:
(1/2)^2 = 1/4
(2/√3)^-4 = (2√3)^4 = 16/9
3^-2 = 1/9
Now we can plug these values back into the equation:
1/4 + 16/9 * 1/9
Now, let's simplify further:
1/4 + 16/81
To add these fractions, we need a common denominator, which in this case is 4*81 = 324:
81/324 + 64/324 = 145/324
Therefore, the final answer is 145/324.