Question

coloque em ordem crescente

a) (-2)^-2 - 3 x (0,5)^3

b) 1/2 + (1/2)^2 x (-1/2)^-3

c) -5/4 - (-1/2)^2
____________
(2/3)^-1

Answer 1

a) R: -0,625

$(-2)^{-2} - 3 * (0,5)^{3}$

$\frac{1}{-2^{2}} - 3 * 0,125$

$\frac{1}{-4} - 3 * 0,125$

$-0,25 - 0,375$

$-0,625$

b) R: -1,5

$\frac{1}{2} + (\frac{1}{2})^{2} * (\frac{-1}{2})^{-3}$

$\frac{1}{2} + \frac{1}{2^{2}} * \frac{1}{\frac{1}{-2^{3}}}$

$\frac{1}{2} + \frac{1}{4} * \frac{1}{\frac{1}{-8}}$

$\frac{1}{2} + \frac{1}{4} * -8$

$\frac{1}{2} - 2$

$\frac{-3}{2}$

$-1,5$

c) R: -1

$\frac{\frac{-5}{4} - \frac{-1}{2}^{2}}{\frac{2}{3}^{-1}}$

$\frac{\frac{-5}{4} - \frac{1}{2^{2}}}{\frac{3}{2}}$

$\frac{\frac{-5}{4} - \frac{1}{4}}{\frac{3}{2}}$

$\frac{\frac{-6}{4}}{\frac{3}{2}}$

$\frac{\frac{-3}{2}}{\frac{3}{2}}$

$\frac{-3}{3}$

$-1$

Ordem Crescente: -0,625 > -1 > -1,5