\[\boxed{\text{194\ (194).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
Пояснение.
Решение.
\[\textbf{а)}\ \left( a^{0,4} \right)^{\frac{1}{2}} \cdot a^{0,8} = a^{0,2} \cdot a^{0.8} =\]
\[= a^{0.2 + 0.8} = a;\]
\[\textbf{б)}\ \left( x^{\frac{3}{4}} \right)^{\frac{4}{5}} \cdot x^{1.6} = x^{\frac{3}{5}} \cdot x^{\frac{8}{5}} = x^{\frac{11}{5}};\]
\[\textbf{в)}\ a\left( a^{- 1.2} \right)^{\frac{3}{4}} = a \cdot a^{- 0.9} = a^{0.1};\]
\[\textbf{г)}\ \left( a^{0.8} \right)^{- \frac{3}{4}} \cdot \left( a^{- \frac{2}{5}} \right)^{- 1.5} =\]
\[= a^{- 0.6} \cdot a^{0.6} = a^{0} = 1\text{.\ }\]