Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "6.022" was replaced by "(6022/1000)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)²³ = (2•5)²³ = 2²³ • 5²³

Equation at the end of step  1  :

   1427   6022
  (———— • ————) • (223•523)
   100    1000

Step  2  :

            3011
 Simplify   ————
            500 

Equation at the end of step  2  :

   1427   3011
  (———— • ————) • (223•523)
   100    500 

Step  3  :

            1427
 Simplify   ————
            100 

Equation at the end of step  3  :

   1427   3011
  (———— • ————) • (223•523)
   100    500 

Step  4  :

Dividing exponents :

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

Dividing exponents :

 4.2    5²³   divided by   5⁵   = 5^{(23 - 5)} = 5¹⁸

Final result :

  (1427•3011•219•518)