Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "6.023" was replaced by "(6023/1000)".

Step  1  :

 1.1     10 = 2•5

(10)²³ = (2•5)²³ = 2²³ • 5²³

Equation at the end of step  1  :

    1    6023
  (——— • ————) • (223•523)
   198   1000

Step  2  :

            6023
 Simplify   ————
            1000

Equation at the end of step  2  :

    1    6023
  (——— • ————) • (223•523)
   198   1000

Step  3  :

             1 
 Simplify   ———
            198

Equation at the end of step  3  :

    1    6023
  (——— • ————) • (223•523)
   198   1000

Step  4  :

Dividing exponents :

 4.1    2²³   divided by   2⁴   = 2^{(23 - 4)} = 2¹⁹

Dividing exponents :

 4.2    5²³   divided by   5³   = 5^{(23 - 3)} = 5²⁰

Final result :

  (19•317•219•520)                                   
  ———————————————— = 3.04192 • 1021 
         99