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): "6.12" was replaced by "(612/100)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

   612
  (——— • ((2)(-3)•(5)(-3)))3
   100

Step  2  :

            153
 Simplify   ———
            25 

Equation at the end of step  2  :

   153
  (——— • ((2)(-3)•(5)(-3)))3
   25 

Step  3  :

Raising to a Power :

 3.1    5²  multiplied by  5³   = 5^{(2 + 3)} = 5⁵

Equation at the end of step  3  :

    153  
 (———————)3
  (55•23)

Step  4  :

 4.1     153 = 32•17

(153)³ = (3²•17)³ = 3⁶ • 17³

Final result :

  (36•173)                                  
  ———————— = 2.29221 • 10-7 
  (515•29)