Question

1) Calcule:
a) 5 3
c) (-5) 3
d) -10 2
e) 10 -3
f) 0,2 2
g) 0,1 -1
h) 3,4 1
i) (-4,17) 0
j) 0,05 -2
k) 1,25 -1

2) Calcule o valor das expressões:

a) A = (3/4)2 x (-2)3 + (-1/2)1

b) B = (1/2)-2 + (1/3)-1

c) C = -2 x (3/2)3 + 1 15 – (-2)1


AJUDA AE ( olha a foto )

Answer 1

Resposta:

$1) a){5}^{3} \: = 5 \times 5 \times 5 = 125$

$c) ( - 5) 3 - 5 \times - 5 \times - 5 = - 125$

$d)- {10}^{2} = 10 \times 10 = - 100$

$e) {10}^{ - 3} = \frac{1}{10} \times \frac{1}{10} \times \frac{1}{10} = \frac{ {1}}{ {10}^{3} } = \frac{1}{1000}$

$1 \div 1000 = 0.001$

$f) {0.2}^{2} = 0.2 \times 0.2 = 0.4$

$g) {0.1}^{ - 1} = \frac{1}{10} = 10 \div 1 = 10$

$h) {3.4}^{1} = \frac{34}{10} = 10 \div 34 = 0.2941176470$

$i) {( - 4.17)}^{0} = 1$

$j) {0.05}^{ - 2} = \frac{5}{100} \times \frac{5}{100} = \frac{ {5}^{2} }{ {100}^{2} } = \frac{25}{10000}$

$10000 \div 25 = 400$

$k){1.25}^{ - 1} = \frac{125}{100} = 100 \div 125 = 0.8$

2- a) (3/4)².(-2)³+(-1/2)¹

9 × (-8) + (-1)

16 2

- 72 - 1 mmc(2,16) = 16

16 2

- 72 - 8

16

- 80 ⇒ 5

16

b) (1/2)-²+(1/3)-¹

(2)² + (3)¹

(1) (1)

4 + 3 ⇒ 7

1 1

c) -2.(3/2)³+1¹-(-2)¹

-2 .(27) + 1 - (-2)

8

- 54 + 1 + 2 mmc = 8

8

- 54 + 8 + 16

8

- 54 + 24

8

- 30 ÷ 2 ⇒ - 15

8 ÷ 2 = 4.