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): "6.62" was replaced by "(662/100)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

   18    662
  ——— • (——— • ((2)(-23)•(5)(-23)))
  100    100

Step  2  :

            331
 Simplify   ———
            50 

Equation at the end of step  2  :

   18    331
  ——— • (——— • ((2)(-23)•(5)(-23)))
  100    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

Equation at the end of step  3  :

   18      331   
  ——— • —————————
  100   (224•525) 

Step  4  :

             9
 Simplify   ——
            50

Equation at the end of step  4  :

   9      331   
  —— • —————————
  50   (224•525) 

Step  5  :

Multiplying exponents :

 5.1    2¹  multiplied by  2²⁴   = 2^{(1 + 24)} = 2²⁵

Multiplying exponents :

 5.2    5²  multiplied by  5²⁵   = 5^{(2 + 25)} = 5²⁷

Final result :

     2979                                     
  ————————— = 1.19160 • 10-23 
  (225•527)