So, this question is about reducing and simplifying the given problem. First, let's write down the given again.
(-54x⁹/y⁴)²/³
The first step is to distribute the exponents to each term.
14.29x⁶/y^(8/3)
To do away with fractional exponents, this could be further simplified to:
(14.29x⁶)/(∛y⁸)