Question

f) aduceti la forma cea simpla expresia

Answer 1

$\it f) (3^{-1})^6\cdot9^{\sqrt3}\cdot(9^{-1})^{\sqrt{27}}=3^{-6}\cdot(3^2)^{\sqrt3}\cdot(3^{-2})^{3\sqrt3}=\\ \\ \\ =3^{-6}\cdot3^{2\sqrt3}\cdot3^{-6\sqrt3}=3^{-6+2\sqrt3-6\sqrt3}}=3^{-6-4\sqrt3}=\dfrac{1}{3^{6+4\sqrt3}}$