Question

Выражения 1)√а√а 2) a^8(a^-2-a^-4)*(a^4+a^5)^-1 3) (y^5/7)^1.4*(y^-3/8)^2.4

Answer 1

$1) \sqrt{a} \sqrt{a} = a \\ 2) a^{8} (a^{-2}- a^{-4})( a^{4}+ a^{5} )^{-1}= \frac{ a^{6} - a^{4} }{ a^{4}+ a^{5}} = \frac{ a^{4}( a^{2}-1 )}{ a^{4}(1+a) } = \frac{(a+1)(a-1)}{a+1} = a-1 \\ 3) (y^{ \frac{5}{7}} ) ^{1,4} } (y^{- \frac{3}{8} })^{2,4}= y^{ \frac{5*7}{7*5}} y^{ -\frac{3*24}{8*10} } = y^{1} y^{ -\frac{9}{10} }= y^{ \frac{1}{10} }$