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$\frac{\left(x^{-4}y\right)^{-\frac{1}{2}}}{\left(x^2y^3\right)^{-\frac{1}{3}}}$
Learn how to solve problems step by step online. Find the derivative using the product rule ((x^(-4)y)^(-1/2))/((x^2y^3)^(-1/3)). Simplifying. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. The power of a product is equal to the product of it's factors raised to the same power. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number.