Question

copie o item subistituindo cada um pelo simbolo >,< ou =

Answer 1

a) 3⁴ = 3 × 3 × 3 × 3 = 81

2⁵ =  2 × 2 × 2 × 2 × 2 = 32

Logo, 3⁴ > 2⁵

b) 20¹ = 20

6² =  6 × 6 = 36

Logo,  20¹ < 6²

c) 5⁻³ = 1/5³ = (1/5) × (1/5) × (1/5) = 1/125 = 0,008

5³ = 5 × 5 × 5 = 125

Logo, 5⁻³ < 5³

d) 7² = 7 × 7 = 49

(1/7)⁻² = 7² = 7 × 7 = 49

Logo, 7² = (1/7)⁻²

e) 2⁻³ = 1/2³ = (1/2) × (1/2) × (1/2) = 1/8 = 0,125

3⁻² = 1/3² = (1/3) × (1/3) = 1/9 ≈ 0,11

Logo, 2⁻³ > 3⁻²

f) (2/3)³ = (2/3) × (2/3) × (2/3) = 8/27

(3/2)⁻³ = (2/3)³ = (2/3) × (2/3) × (2/3) = 8/27

Logo, (2/3)³ = (3/2)⁻³

Bons estudos!