Question

să se aduca la forma cea mai simplă

Answer 1

a)
$=a^{\frac{5}{6}}*(a^{-\frac{1}{3}+\frac{1}{2}})^{2}:a^{\frac{7}{2}*\frac{1}{3}}=$

$=a^{\frac{5}{6}}*(a^{-\frac{2}{6}+\frac{3}{6}})^{2}:a^{\frac{7}{6}}=$

$=a^{\frac{5}{6}}*(a^{\frac{1}{6}})^{2}:a^{\frac{7}{6}}=$

$=a^{\frac{5}{6}}*a^{\frac{2}{6}}:a^{\frac{7}{6}}=$

$=a^{\frac{5}{6}+\frac{2}{6}-\frac{7}{6}=$

$=a^{\frac{7}{6}-\frac{7}{6}=$

$=a^{0}=$

$\boxed{=1}$