Question

Use the properties of exponents to simplify the expression

Answer 1

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:

$=\rm (x.x^{-3}.y^{\dfrac{1}{3}})^2$

$=\rm (x^{-2}.y^{\dfrac{1}{3}})^2\\\\=\rm (x^{-4}.y^{\dfrac{2}{3}})\\\\=\rm \dfrac{y^{\dfrac{2}{3}}}{x^{4}}$

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

#SPJ1