Question

(UFMG) A expressão

(a -¹/9 . (a-¹/³))/-a² : (-1/a)²

Com diferente de 0, é equivalente a

Answer 1

$\frac{ a^{- \frac{1}{9} }.( a^{- \frac{1}{3} })^2 }{-a^2} \div(- \frac{1}{a} )^2= \\ \\ \frac{ a^{- \frac{1}{9} }. a^{- \frac{2}{3} } }{-a^2} \div \frac{1}{a^2} = \\ \\ \frac{ a^{ \frac{-1}{9} - \frac{2}{3} } }{-a^2} \times a^2= \\ \\ \frac{ a^{ \frac{-1-6}{9} } }{-a^2 } \times a^2= \\ \\ \frac{ a^{- \frac{7}{9} } }{-\not a^2} \times\not a^2= \\ \\ -a^{- \frac{7}{9} } = \\ \\ \sqrt[9]{-a^-^7}$