Question

(3/5)^-2 * (5/2)^-1 -(4/3)^-2 * (1/4)^-2

Answer 1

(5/3)^2 x (2/5)^1 - (3/4)^2 x (4/1)^2∴ 25/9 x 2/5 - (9/16) x (16/1)∴ 50/45- 9/1 ∴ 10/9 -9/1 = 10 -81/9 ∴ -71/9

Answer 2

Para retira o sinal de negativo do expoente inverta a fração:

$(\dfrac{3}{5})^-^2 * (\dfrac{5}{2})^-^1 - (\dfrac{4}{3})^-^2 * (\dfrac{1}{4})^-^2$

$(\dfrac{5}{3})^2 * (\dfrac{2}{5})^1 - (\dfrac{3}{4})^2 * (\dfrac{4}{1})^2 \\ \\ \\ \dfrac{5^2}{3^2} * \dfrac{2^1}{5^1} -\dfrac{3^2}{4^2} * \dfrac{4^2}{1^2} \\ \\ \\ \dfrac{25}{9} * \dfrac{2}{5} -\dfrac{9}{16} * 16 \\ \\ \\ \dfrac{50}{45} -\dfrac{144}{16} \\ \\ \\ \dfrac{10}{9} -9 \\ \\ \\ \fbox{ \ - \dfrac{71}{9}\ }$