Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-24" was replaced by "^(-24)".

(2): "6.65" was replaced by "(665/100)".

Step  1  :

 1.1     10 = 2•5

(10)^-24 = (2•5)^(-24) = (2)^(-24) • (5)^(-24)

Equation at the end of step  1  :

  665
  ——— • ((2)(-24)•(5)(-24))
  100

Step  2  :

            133
 Simplify   ———
            20 

Equation at the end of step  2  :

  133
  ——— • ((2)(-24)•(5)(-24))
  20 

Step  3  :

Multiplying exponents :

 3.1    2²  multiplied by  2²⁴   = 2^{(2 + 24)} = 2²⁶

Multiplying exponents :

 3.2    5¹  multiplied by  5²⁴   = 5^{(1 + 24)} = 5²⁵

Final result :

     133                                      
  ————————— = 6.65000 • 10-24 
  (226•525)