Question

As perguntas tão na imagem

Answer 1

Explicação passo-a-passo:

1)

$a) {( - \frac{1}{3}) }^{2} \times {( - \frac{1}{3} )}^{3} = {( - \frac{1}{3}) }^{2 + 3} = {( - \frac{1}{3} )}^{5} \\ \\ b) {( {( \frac{3}{7}) }^{4} )}^{3} = {( \frac{3}{7} )}^{4 \times 3} = {( \frac{3}{7} )}^{12} \\ \\ c) {(1.9)}^{11} \div {(1.9)}^{6} = {(1.9)}^{11 - 6} = {(1.9)}^{5} \\ \\ d) {( \frac{1}{2} )}^{7} \div {( \frac{1}{2} )}^{3} = {( \frac{1}{2} )}^{7 - 3} = {( \frac{1}{2}) }^{4} \\ \\ e) {( - 0.5)}^{7} \times ( - 0.5) \times {( - 0.5)}^{8} = {( - 0.5)}^{7 + 1 + 8} = {( - 0.5)}^{16} \\ \\ f) {( {(4.2)}^{3} )}^{3} = {(4.2)}^{3 \times 3} = {(4.2)}^{9}$

2) 8,5 × 10⁶ = 8500000

6 × 10² = 600

2 × 10⁴ = 20000

3 × 10¹ = 30

8,8 × 10⁵ = 880000

1,7 × 10‐¹ = 0,17

3) 0,0003 = 3 × 10‐⁴

1200 = 1,2 × 10³

56000000 = 5,6 × 10⁷

0,00046 = 4,6 × 10‐⁴

4) 12² = 144 m²

5) 3² - (-9)² + 10¹ = 9 - 81 + 10 = - 72 + 10 = -62

2⁴ - 4² + (-6)² = 16 - 16 + 36 = 36

(-5)³ + 20² - 12⁰ = -125 + 400 - 1 = 275 - 1 = 274

10² + 5² - 5⁰ = 100 + 25 - 1 = 125 - 1 = 124