Question

Resolva as expressões abaixo:

a) {[+(√36) · 2³ + (-5)² ÷ (-5)]} =

b) (-8)² ÷ (-2)² =

c) (-7) -³ · (-7) -² =

d) (-$\frac{2}{3}$)$^{-2}$ +(-$\frac{2}{3}$)$^{-2}$ =

Answer 1

Resposta:

Letra a)

{[(√36) · 2³ + (-5)² ÷ (-5)]} =

{[6 · 8 + 25 ÷ (-5)]} =

{[48 + (-5)]} =

{[48 - 5)]} =

43

Letra b)

(-8)² ÷ (-2)² =

64 ÷ 4 =

16

Letra c)

($-7^{-3}$) . ($-7^{-2}$) =

$-7^{-3+(-2)}$ =

$-7^{-5}$ =

$(\frac{1}{7} )^{5}$

Letra d)

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

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

$(\frac{9}{4})$ + $(\frac{9}{4})$ =

$(\frac{18}{4})$ =

4,5