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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1
Divide $5$ by $3$
$\frac{\left(\sqrt[6]{\left(6a^2+b^2+11ab-10b^2\right)^{5}}\right)^2\left(3ab+2\right)^{-\frac{5}{3}}}{\sqrt[3]{\left(4b-10\right)^{5}}}$
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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 simplification of algebraic expressions problems step by step online. Simplify the expression ((6a^2+b^211ab-10b^2)^5/6^2(3ab+2)^(-5/3))/((4b-10)^(5/3)). Divide 5 by 3. Divide -5 by 3. Combining like terms b^2 and -10b^2. Simplify \left(\sqrt[6]{\left(6a^2-9b^2+11ab\right)^{5}}\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{5}{6} and n equals 2.
Final answer to the problem
$\frac{\sqrt[3]{\left(6a^2-9b^2+11ab\right)^{5}}}{\sqrt[3]{\left(4b-10\right)^{5}}\sqrt[3]{\left(3ab+2\right)^{5}}}$