a)
[tex](2\frac{1}{3})^{2}=(\frac{7}{3})^{2}=\frac{49}{9}=5\frac{4}{9}[/tex]
b)
[tex]\frac{3^{4}*9^{5} }{27^{4} } =\frac{3^{4}*3^{10} }{3^{12} }=\frac{3^{10} }{3^{8} }=3^{2}=9[/tex]