When multiplying same bases raised to some power, the exponents are added.
For example, a² x a³ = a²⁺³ = a⁵
So for [tex]5^ \frac{1}{3} \times 5^? = 5^1[/tex]
[tex] \frac{1}{3} + ? = 1[/tex]
[tex]? = 1 - \frac{1}{3}[/tex]
[tex]? =\frac{3}{3}-\frac{1}{3}[/tex]
[tex]\boxed{? =\frac{2}{3}}[/tex]