Question

o valor da expressão (3/20)^-1 : (2/3)^1/2 é

Answer 1

(3/2)^-1:(2/3)^1/2 ==> (2/3)^1:(3/2)^2==> (2/3):(9/4) ==> (2/3)*(4/9)==> 8/27

Answer 2

Resolução: (3/20)^-1=(20/3)^1(2/3)^1/2= √(2/3)

Então:(20/3):√(2/3)⇒(20/3).(1/√(2/3))⇒20/(3.√(2/3))

⇒20/(3.√(2/3)). (3.√(2/3))/(3.√(2/3))

⇒60√(2/3)/9.(2/3)⇒60√(2/3)/(18/3)⇒60√(2/3)/6

⇒10√(2/3)