Question

gente me ajuda pelo amor de Deus!​

Answer 1

Explicação passo-a-passo:

• Valor de x

$\sf x=\Big(2-\dfrac{1}{2}\Big)^{-2}$

$\sf x=\Big(\dfrac{4}{2}-\dfrac{1}{2}\Big)^{-2}$

$\sf x=\Big(\dfrac{3}{2}\Big)^{-2}$

$\sf x=\Big(\dfrac{2}{3}\Big)^2$

$\sf x=\dfrac{2^2}{3^2}$

$\sf x=\dfrac{4}{9}$

• Valor de y

$\sf y=\Big(1+\dfrac{1}{3}\Big)^{-1}$

$\sf y=\Big(\dfrac{3}{3}+\dfrac{1}{3}\Big)^{-1}$

$\sf y=\Big(\dfrac{4}{3}\Big)^{-1}$

$\sf y=\dfrac{3}{4}$

Assim:

$\sf x\cdot y=\dfrac{4}{9}\cdot\dfrac{3}{4}$

$\sf x\cdot y=\dfrac{12}{36}$

$\sf x\cdot y=\dfrac{12\div12}{36\div12}$

$\boxed{\red{\sf x\cdot y=\dfrac{1}{3}}}$