Question

Poderiam me ajudar à calcular $(- \frac{1}{243})^{ \frac{-2}{5} }$ ? Grata.

Answer 1

$(-\frac{1}{243})^{ -\frac{2}{5} }= 243^{ \frac{2}{5}} = (\sqrt[5]{243})^2 =3^2=9\\ obs: ( \frac{a}{b} )^{-n}= ( \frac{b}{a} )^{n}$