Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-23" was replaced by "^(-23)".

(2): "6.66" was replaced by "(666/100)".

Step  1  :

 1.1     10 = 2•5

(10)^-23 = (2•5)^(-23) = (2)^(-23) • (5)^(-23)

Equation at the end of step  1  :

  666
  ——— • ((2)(-23)•(5)(-23))
  100

Step  2  :

            333
 Simplify   ———
            50 

Equation at the end of step  2  :

  333
  ——— • ((2)(-23)•(5)(-23))
  50 

Step  3  :

Multiplying exponents :

 3.1    2¹  multiplied by  2²³   = 2^{(1 + 23)} = 2²⁴

Multiplying exponents :

 3.2    5²  multiplied by  5²³   = 5^{(2 + 23)} = 5²⁵

Final result :

     333                                      
  ————————— = 6.66000 • 10-23 
  (224•525)