Question

!!!!!! URGENTE POR FAVOR !!!!!!!



Fatore as expressões: a) 5 + 5 + +
b) 7 − 7 + −
c) + 2 + + 2
d) 6 + + 6 +
e) 3 + + 3 +
f) − + −
g) 2 + 3 + + 3
h) 2 + + + ​

Answer 1

Para essa tarefa, precisamos resolver as potências:

1. a) 3^{-2}3

−2

= 1/3² = (1/3) x (1/3) = 1/9 = 0,11

b) 2^{-3}2

−3

= 1/2³ = (1/2) x (1/2) x (1/2) = 1/8 = 0,125

c) 10^{-1}10

−1

= 1/10 = 0,1 (para expoente negativo, basta escrever a base da potência em forma de fração e aplicar suas propriedades)

d) 6^{-3}6

−3

= 1/6³ = (1/6) x (1/6) x (1/6) = 1/216

2. a) (2/6)^{-2}(2/6)

−2

= (6/2)² = 6²/2² = 36/4 = 9

b) (3/5)^{-1}(3/5)

−1

= 5/3¹ = 5/3 = 1,66

c) (2/3)^{-3}(2/3)

−3

= (3/2)³ = 3³/2³ = 27/8 = 3,375

3). a) (-8)^{-2}(−8)

−2

= (1/-8)² = (1/-8) x (1/-8) = 1/64

b) (4)^{-3}(4)

−3

= 1/4³ = 1/4 x 1/4 x 1/4 = 1/64

c) (-3/7)² = (-3/7) x (-3/7) = 9/49

d) (2/4)^{-4}(2/4)

−4

= (4/2)^{4}(4/2)

4

= 4/2 x 4/2 x 4/2 x 4/2 = 256/16 = 16

e) (3/5)^{-5}(3/5)

−5

= (5/3)^{5}(5/3)

5

= 5/3 x 5/3 x 5/3 x 5/3 x 5/3 = 3125/243 = 12,86

f) (-12/13)^{-1}(−12/13)

−1

= (13/-12) = - 1,08

g) (7/9)^{-2}(7/9)

−2

= (9/7)² = (9/7) x (9/7) = 81/49

h) (6)^{-4}(6)

−4

= (1/6)^{4}(1/6)

4

= 1/6 x 1/6 x 1/6 x 1/6 = 1/1296

e) 10^{-2}10

−2

= 1/10² = 1/10 x 1/10 = 1/100 = 0,01

f) 2^{-5}2

−5

= 1/2^{5}1/2

5

= 1/2 x 1/2 x 1/2 x 1/2x 1/2 = 1/32 = 0,03

g) 100^{-1}100

−1

= 1/100¹ = 1/100 = 0,01

i) 1^{-18}1

−18

= 1/1^{18}1/1

18

= 1

d) (-4/5)^{-3}(−4/5)

−3

= (5/-4)³ = (125/-64) = -1,95

e) (-3/9)^{-2}(−3/9)

−2

= (9/-3)² = (81/-9) = -9

f) (-6/7)^{-3}(−6/7)

−3

= (7/-6)³ = (343/-216) = -1,59

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acho que é isso