Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "6.02214076" was replaced by "(602214076/100000000)".

Step  1  :

 1.1     10 = 2•5

(10)²³ = (2•5)²³ = 2²³ • 5²³

Equation at the end of step  1  :

  602214076
  ————————— • (223•523)
  100000000

Step  2  :

            150553519
 Simplify   —————————
            25000000 

Equation at the end of step  2  :

  150553519
  ————————— • (223•523)
  25000000 

Step  3  :

Dividing exponents :

 3.1    2²³   divided by   2⁶   = 2^{(23 - 6)} = 2¹⁷

Dividing exponents :

 3.2    5²³   divided by   5⁸   = 5^{(23 - 8)} = 5¹⁵

Final result :

  (563•267413•217•515)