Question

$$\sqrt[3]{a-6}{\sqrt[3]{a^{7}}-\frac{a+6}{a\frac{1}{3}+6\frac{2}{3}}$$

Answer

$$sqrt[3]a-6*sqrt[3]a^7+77*a+623$$

Solution


Simplify  \(6a\times 13\)  to  \(78a\).
sqrt\(3\)a-6*sqrt[3]a^7-a+78*a+623
Collect like terms.
sqrt\(3\)a-6*sqrt[3]a^7+(-a+78*a)+623
Simplify.
sqrt\(3\)a-6*sqrt[3]a^7+77*a+623