Question

Qual o resultado da expressão numérica (1/3)³ ÷ (2/5 - 1)² + (3/4)

Answer 1

Resposta:

829/972

Explicação passo a passo:

Formulas:

(b – a)² = b² – 2ba + a²

(1/3)³ ÷ (2/5 - 1)² + (3/4) =

(1.1.1/3.3.3) ÷ [(2/5)² - 2(2/5)(1) + 1²] + (3/4) =

(1/27) ÷ [(2.2/5.5) - 2(2/5)(1) + 1] + (3/4) =

(1/27) ÷ [(4/25) - (2.2/5) + 1] + (3/4) =

(1/27) ÷ [(4/25) - (4/5) + 1] + (3/4) =

(1/27) ÷ [(4/25) - (20/25) + 1] + (3/4) =

(1/27) ÷ [(-16/25) + 1] + (3/4) =

[(1/27) ÷ (9/25)] + (3/4) =

[(1/27).(25/9)] + (3/4) =

(25/243) + (3/4) = (100+729/972) = 829/972