Question

Ребята, помогите, пожалуйста. Как решить?

Answer 1

$(\frac{ {27}^{ \frac{1}{6} } \times {27}^{ \frac{1}{9} } }{ {27}^{ \frac{1}{18} } } )^{3} = (\frac{ {27}^{ \frac{1}{6} + \frac{1}{9} } }{ {27}^{ \frac{1}{18} } } ) ^{3} = ( \frac{ {27}^{ \frac{3}{18} + \frac{2}{18} } }{ {27}^{ \frac{1}{18} } } ) ^{3} = ( {27}^{ \frac{5}{18} - \frac{1}{18} } )^{3} = {( {27}^{ \frac{4}{18} } )}^{3} = {( {27}^{ \frac{2}{9} } )}^{3} = {27}^{ \frac{2}{3} } = \sqrt[3]{ {27}^{2} } = \sqrt[3]{ {3}^{6} } = {3}^{2} = 9$