Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "10.5887284" was replaced by "(105887284/10000000)".

Step  1  :

 1.1     10 = 2•5

(10)²³ = (2•5)²³ = 2²³ • 5²³

Equation at the end of step  1  :

  105887284
  ————————— • (223•523)
  10000000 

Step  2  :

            26471821
 Simplify   ————————
            2500000 

Equation at the end of step  2  :

  26471821
  ———————— • (223•523)
  2500000 

Step  3  :

Dividing exponents :

 3.1    2²³   divided by   2⁵   = 2^{(23 - 5)} = 2¹⁸

Dividing exponents :

 3.2    5²³   divided by   5⁷   = 5^{(23 - 7)} = 5¹⁶

Final result :

  (3001•8821•218•516)