Answer
$$9^{1/3}\times9^{1/6}=3$$
Work Step by Step
$$9^{1/3}\times9^{1/6}$$
As $9\gt0$, we can apply the law of exponents here.
We would need to apply this law: $$a^x\times a^y=a^{x+y}$$
Therefore, $$9^{1/3}\times9^{1/6}=9^{1/3+1/6}=9^{1/2}=\sqrt9=3$$