Final answer to the problem
$\frac{\sqrt[3]{\left(6a^2-9b^2+11ab\right)^{5}}}{\sqrt[3]{\left(4b-10\right)^{5}}\sqrt[3]{\left(3ab+2\right)^{5}}}$
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Step-by-step Solution
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$\frac{\left(\sqrt[6]{\left(6a^2+b^2+11ab-10b^2\right)^{5}}\right)^2\left(3ab+2\right)^{-\frac{5}{3}}}{\sqrt[3]{\left(4b-10\right)^{5}}}$
Learn how to solve product rule of differentiation problems step by step online.
$\frac{\left(\sqrt[6]{\left(6a^2+b^2+11ab-10b^2\right)^{5}}\right)^2\left(3ab+2\right)^{-\frac{5}{3}}}{\sqrt[3]{\left(4b-10\right)^{5}}}$
Learn how to solve product rule of differentiation problems step by step online. Find the derivative using the product rule ((6a^2+b^211ab-10b^2)^5/6^2(3ab+2)^(-5/3))/((4b-10)^(5/3)). Simplifying. Simplifying. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number.
Final answer to the problem
$\frac{\sqrt[3]{\left(6a^2-9b^2+11ab\right)^{5}}}{\sqrt[3]{\left(4b-10\right)^{5}}\sqrt[3]{\left(3ab+2\right)^{5}}}$