Question

(-3/2)–³ Alguém sabi?

Answer 1

Resposta:

$-\frac{8}{27}$

Explicação passo a passo:

$(-\frac{3}{2})^-^3 =(-\frac{2}{3})^3=-\frac{8}{27}$

Answer 2

$\large\boxed{\begin{array}{l}\underline{\sf Pot\hat encia\,de\,expoente\,inteiro\,negativo}\\\huge\boxed{\boxed{\boxed{\boxed{\rm\bigg(\dfrac{b}{a}\bigg)^{\!\!\!\!-n}\!\!=\bigg(\dfrac{a}{b}\bigg)^{\!\!n},b\ne0}}}}\end{array}}$

$\large\boxed{\begin{array}{l}\rm \bigg(-\dfrac{3}{2}\bigg)^{-3}=\bigg(-\dfrac{2}{3}\bigg)^3=-\dfrac{2^3}{3^3}\\\\\rm\bigg(-\dfrac{3}{2}\bigg)^{-3}=-\dfrac{8}{27}\end{array}}$