Question

Simplify x^1/3(x^1/2+2x^2)

Answer 1

`x^(5/6 ) + 2\cdot x^(7/3)`

Explanation:

Let be
`x^(1/3)\cdot (x^(1/2) + 2\cdot x^(2))`, which can be simplified solely by algebraic means. We proceed to describe all the steps needed for simplification:

1)
`x^(1/3)\cdot (x^(1/2) + 2\cdot x^(2))` Given.

2)
`x^(1/3)\cdot x^(1/2) + 2\cdot (x^(1/3)\cdot x^(2))` Distributive and associative properties.

3)
`x^(5/6 ) + 2\cdot x^(7/3)`
`a^(m)\cdot a^(n) = a^(m+n)`/Result