Question 594089
You are 100% correct in saying that 



<img src="http://latex.codecogs.com/gif.latex?\LARGE \left(\frac{16x^5y^{10}}{81xy^2}\right)^{\frac{3}{4}} = \frac{8x^3y^6}{27}" title="x" />



for all values of x and y where both x and y are positive numbers. Congratulations.