Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "6.02" was replaced by "(602/100)". 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  :

    32    602
  (———— • ———) • (223•523)
   1000   100

Step  2  :

            301
 Simplify   ———
            50 

Equation at the end of step  2  :

    32    301
  (———— • ———) • (223•523)
   1000   50 

Step  3  :

             4 
 Simplify   ———
            125

Equation at the end of step  3  :

    4    301
  (——— • ———) • (223•523)
   125   50 

Step  4  :

Multiplying exponents :

 4.1    2¹  multiplied by  2²³   = 2^{(1 + 23)} = 2²⁴

Dividing exponents :

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

Final result :

  (224•7•43•518)