Question

quel é a potencia de {7/9}-2

Answer 1

Aplicando a Propriedade da Potenciação:

$\large \boxed{\boxed{\sf \bigg(\dfrac{a}{b} \bigg)^{-n} = \bigg(\dfrac{b}{a} \bigg)^{n}}} \Leftrightarrow \large \boxed{\boxed{\sf \bigg(\dfrac{a}{b} \bigg)^{n} = \frac{a^{n} }{b^{n} } }}$

Cálculo:

$\large \boxed{\boxed{\sf \bigg(\dfrac{7}{9}\bigg)^{-2} \Rightarrow \dfrac{9^{2} }{7^{2} } =\dfrac{81}{49}}}$

Resposta:

$\bullet\: \: \: \huge \boxed{\boxed{\sf \dfrac{81}{49}}}$