First, let's simplify the expression inside the parentheses:

(2/3)^2 = (2/3)(2/3) = 4/9

Now, let's square 4/9:

(4/9)^2 = (4^2)/(9^2) = 16/81

Next, let's simplify the expression outside the parentheses:

(-2 1/4) = -9/4

Now, let's raise (-9/4) to the power of -5:

(-9/4)^-5 = (-4/9)^5 = -1024/59049

Finally, let's multiply this result by the previously calculated value:

(-1024/59049) * (16/81) = -16384/4813158

Therefore, (-2 1/4)^-5*((2/3)^2)^2 = -16384/4813158