Do you mean either of the following?
. . . . .\(\displaystyle \L \frac{2^{(x^2)}}{2^{(y^2)}}\,=\,16^{x\,+\,y}\)
. . . . .\(\displaystyle \L \frac{{(2^x)}^2}{{(2^y)}^2}\,=\,16^x\,+\,y\)
Or something else? What have you tried? How far have you gotten?
Thank you.
Eliz.