Question

Помогите, пожалуйста, с этим номером

Answer 1

2ˇ(3/2).6ˇ(-1/2)/9ˇ(-1/6).3ˇ(5/6)=
=2ˇ(3/2).2ˇ(-1/2).3ˇ(-1/1)/3ˇ(-1/3).3ˇ(5/6)=
=2.3ˇ(-1/2)/3ˇ(-1/3).3ˇ(5/6)=2.3ˇ(-1/2).3ˇ(1/3).3ˇ(-5/6)=
=2.3ˇ(-6/6)=2.3ˇ(-1)=2/3

Answer 2

$\frac{2^{\frac{3}{2}}\cdot 6^{-\frac{1}{2}}}{9^{-\frac{1}{6}}\cdot 3^{\frac{5}{6}}} = \frac{2^{\frac{3}{2}}\cdot 2^{-\frac{1}{2}}\cdot 3^{-\frac{1}{2}}}{3^{-\frac{2}{6}}\cdot 3^{\frac{5}{6}}} = \frac{2\cdot 3^{-\frac{1}{2}}}{3^{-\frac{2}{6}+\frac{5}{6}}} =\frac{2\cdot 3^{-\frac{1}{2}}}{3^{\frac{3}{6}}}=\frac{2\cdot 3^{-\frac{1}{2}}}{3^{\frac{1}{2}}}=\frac{2}{3}$