What is the following product? Assume x>0. ^3root (x^2) • ^4root (x^3)

Answer:
[tex]x \sqrt[12]{ {x}^{5} } [/tex]
Step-by-step explanation:
[tex] \sqrt[3]{ {x}^{2} } \sqrt[4]{ {x}^{3} } [/tex]
[tex] {x}^{ \frac{2}{3} } {x}^{ \frac{3}{4} } = {x}^{ \frac{8}{12} } {x}^{ \frac{9}{12} } = {x}^{ \frac{17}{12} } = {x}^{ \frac{5}{12} } x = x \sqrt[12]{ {x}^{5} } [/tex]