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): "1.005" was replaced by "(1005/1000)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  1005
  ———— • ((2)(-3)•(5)(-3))
  1000

Step  2  :

            201
 Simplify   ———
            200

Equation at the end of step  2  :

  201
  ——— • ((2)(-3)•(5)(-3))
  200

Step  3  :

Multiplying exponents :

 3.1    2³  multiplied by  2³   = 2^{(3 + 3)} = 2⁶

Multiplying exponents :

 3.2    5²  multiplied by  5³   = 5^{(2 + 3)} = 5⁵

Final result :

    201             
  ——————— = 0.00101 
  (26•55)