Question

qual o valor das expressões

a) (3/2) elevado a -1 : (2/3) elevado a 1/2

Answer 1

(3/2)^(-1) ÷ (2/3)^(1/2)
(2/3)^1 ÷ √(2/3)
2/3 ÷ √2/√3
2/3 × √3/√2
(2√3)/(3√2)

Racionalizar:
(2√3)/(3√2) × 1
(2√3)/(3√2) × √2/√2
(2√6)/(3√4)
(2√6)/(3×2)
√6/3

Resposta: √6/3