From the following expression (x 4/3) (x 2/3) what is the product of the two factors? Show your work

To find the product of two factors, we need to multiply them together.

Given expression: (x^(4/3))(x^(2/3))

To multiply two expressions with the same base, we add their exponents:
(x^(4/3)) * (x^(2/3)) = x^((4/3) + (2/3))

Simplifying the exponents:
x^((4 + 2)/3) = x^(6/3) = x^2

Therefore, the product of the two factors is x^2.