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$\left(\frac{y^{125}}{x^{153}}\right)^2\left(xy^{20}\right)^{-131}$
Learn how to solve product rule of differentiation problems step by step online. Find the derivative using the product rule ((x^(-151)y^4)/(x^2y^(-121)))^2((x^4y^(-151))/(x^3y^(-171)))^(-131). Simplifying. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}. Simplify \left(y^{125}\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 125 and n equals 2. Multiply 125 times 2.