Question

(0,25 * 8) do potęgi-2 w mianowniku (√2) do potęgi 3

Answer 1

0,25* 8 = 2

2(do potęgi -2)= 1/4

 

(√2)³=2√2

 

(1/4) / 2√2 = 1/8√2 = √2/16

Answer 2

(0,25 * 8) do potęgi-2 w mianowniku (√2) do potęgi 3

     [(1/4)*8]⁻²               2⁻²               (1/2)²

=  ---------------- =   --------------- =  ------------- =

        (√2)³                 √2*(√2)²           √2*2

 

     1/4                                   (1/4)         √2

= ---------  =   (1/4):(2√2 )=  ----------- * ------- =  [(1/4)(√2)] :[ 2*(√2)²] = 

    2√2                                     2√2          √2

 

 

=[ (1/4)*√2 ] : [ 2*2 ] =  [ (1/4)*√2 ] :4 =  (1/4)*√2*(1/4) = (1/16)*√2 =

 

= (1/2)⁴*√2  = 2⁻⁴*2^(½)