[tex]\frac{27\sqrt3}{81^{1.5}}=\frac{27\sqrt3}{81^{\frac32}}=\frac{27\sqrt3}{\sqrt{81^3}}=\frac{27\sqrt3}{81\sqrt{81}}=\frac{27\sqrt3}{81*9}=\frac{27\sqrt3}{729}=\frac{\sqrt3}{27}=\frac{3^{\frac12}}{3^{3}}=3^{\frac12-3}=3^{\frac12-\frac62}=3^{-\frac52}=3^{-2.5}[/tex]
Odp. D
[tex]\frac{27\sqrt3}{81^{1.5}}=\frac{3^3*3^{\frac12}}{(3^4)^{1.5}}=\frac{3^{3.5}}{3^6}=3^{3.5-6}=3^{-2.5}\\\\Odp. D[/tex]
