Question

$9 ^{ frac{5}{4} } :27 ^{0.4} *3 ^{0.3}$

Answer 1

$9 ^{ frac{5}{4} } :27 ^{0.4}cdot3 ^{0.3} = (3^2) ^{ 1.25 } :(3^3) ^{0.4}cdot3 ^{0.3} = \ =3 ^{ 2.5 } :3 ^{1.2}cdot3 ^{0.3} =3^{2.5-1.2+0.3}=3^{1.6}= sqrt[16]{3^{10}} = sqrt[8]{3^5} = sqrt[8]{243}$