Final answer to the problem
$x^4y^4\left(2x-3\right)^4$
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Step-by-step Solution
Specify the solving method
1
Factor the polynomial $\left(2x^2y-3xy\right)$ by it's greatest common factor (GCF): $xy$
$\left(xy\left(2x-3\right)\right)^4$
2
The power of a product is equal to the product of it's factors raised to the same power
$x^4y^4\left(2x-3\right)^4$
Final answer to the problem
$x^4y^4\left(2x-3\right)^4$