Given:
[tex]9^{\frac{1}{2}}\times27^{\frac{1}{3}}[/tex][tex]9^{\frac{1}{2}}\times27^{\frac{1}{3}}=(3^2)^{\frac{1}{2}}\times(3^3)^{\frac{1}{3}}[/tex][tex]9^{\frac{1}{2}}\times27^{\frac{1}{3}}=3\times3[/tex][tex]9^{\frac{1}{2}}\times27^{\frac{1}{3}}=9[/tex]
1st option is the correct answer.
