Answer:
[tex]x^{5/6 } + 2\cdot x^{7/3}[/tex]
Step-by-step explanation:
Let be [tex]x^{1/3}\cdot (x^{1/2} + 2\cdot x^{2})[/tex], which can be simplified solely by algebraic means. We proceed to describe all the steps needed for simplification:
1) [tex]x^{1/3}\cdot (x^{1/2} + 2\cdot x^{2})[/tex] Given.
2) [tex]x^{1/3}\cdot x^{1/2} + 2\cdot (x^{1/3}\cdot x^{2})[/tex] Distributive and associative properties.
3) [tex]x^{5/6 } + 2\cdot x^{7/3}[/tex] [tex]a^{m}\cdot a^{n} = a^{m+n}[/tex]/Result