Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.008" was replaced by "(008/1000)".

Step  1  :

             1 
 Simplify   ———
            125

Equation at the end of step  1  :

   1 
  ———)2) ÷ 3
  125

Step  2  :

 2.1   Negative number raised to an even power is positive 

For example let's look at (-7)⁶ , where (-7) , a negative number, is raised to 6 , an even exponent :

(-7)⁶ can be written as (-7)•(-7)•(-7)•(-7)•(-7)•(-7)

Now, using the rule that says minus times minus is plus, (-7)⁶ can be written as (49)•(49)•(49) which in turn can be written as (7)•(7)•(7)•(7)•(7)•(7) or 7⁶ which is positive.

We proved that (-7)⁶ is equal to (7)⁶ which is a positive number

Using the same arguments as above, replacing (-7) by any negative number, and replacing the exponent 6 by any even exponent, we proved which had to be proved

 2.2     125 = 5³ (125)² = (5³)² = 5⁶

Equation at the end of step  2  :

   1
  —— ÷ 3
  56

Step  3  :

          1      
 Divide  ——  by  3
         56      

Final result :

     1             
  —————— = 0.00002 
  (56•3)