Hey! :)
Some things to note: When you bring a exponent to the numerator, you make it negative.
When you put an exponent to another exponent, you multiply the exponents together.
![((3x^2y^5)/(x^6y^2) )^4\\(81x^8y^(20))/(x^(24)y^8)\\81x^8x^(-24)y^(20)y^(-8)\\(81y^(12))/(x^(16))](https://img.qammunity.org/2020/formulas/mathematics/middle-school/fo7mpeykcbg3jkoorjxqw58v7m2osyh6pl.png)
so that is your answer, please let me know if you need more of an explanation. :)