Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-3" was replaced by "^(-3)".

(2): "3." was replaced by "(3/1)".

Step  1  :

 1.1     10 = 2•5

(10)^-3 = (2•5)^(-3) = (2)^(-3) • (5)^(-3)

Equation at the end of step  1  :

   3
  (— • ((2)(-3)•(5)(-3)))3
   1

Step  2  :

            3
 Simplify   —
            1

Equation at the end of step  2  :

  (3 • ((2)(-3)•(5)(-3)))3

Step  3  :

Equation at the end of step  3  :

    3 
 (————)3
  1000

Step  4  :

 4.1     1000 = 2³•5³ (1000)³ = (2³•5³)³ = 2⁹ • 5⁹

Final result :

     33                                    
  ——————— = 2.70000 • 10-8 
  (29•59)