Question

Вычислите:

1)0,09^3/2 2)(5 1/16)^3/4 3)36x6^-5 4) ( (3 6/7^1/2-(1 5/7)^1/2):(3/28)^1/2

Answer 1

1) 0,09^3/2=(√0,09)³=0,3³=0,027

2) (5 1/16)^3/4 =(⁴√81/16)³= (⁴√3⁴/ 2⁴)³=(3/2)³= 27/8=3 3/8

3)  36*6^(-5)=6²/ 6⁵ =1/6³

4) ( (3 6/7)^(1/2) - (1 5/7)^(1/2)):(3/28)^(1/2) =

 = ( (27 /7)^(1/2) -  (12/7)^(1/2)) * (28/3)^(1/2) =

  =  (27 /7)^(1/2) * (28/3)^(1/2) - (12/7)^(1/2)) * (28/3)^(1/2) =

  =(9*4)^(1/2) - (4*4)^(1/2) =√36- √16=6-4=2