Option B is correct after applying the property of integer exponent and simplification.
What is an integer exponent?
In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
We have:
[tex]=\rm (x.x^{-3}.y^{\dfrac{1}{3}})^2[/tex]
[tex]=\rm (x^{-2}.y^{\dfrac{1}{3}})^2\\\\=\rm (x^{-4}.y^{\dfrac{2}{3}})\\\\=\rm \dfrac{y^{\dfrac{2}{3}}}{x^{4}}\\\\[/tex]
Thus, option B is correct after applying the property of integer exponent and simplification.
Learn more about the integer exponent here:
brainly.com/question/4533599
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