Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "4.56" was replaced by "(456/100)".

Step  1  :

 1.1     10 = 2•5

(10)²³ = (2•5)²³ = 2²³ • 5²³

Equation at the end of step  1  :

  456
  ——— • (223•523)
  100

Step  2  :

            114
 Simplify   ———
            25 

Equation at the end of step  2  :

  114
  ——— • (223•523)
  25 

Step  3  :

Multiplying exponents :

 3.1    2¹  multiplied by  2²³   = 2^{(1 + 23)} = 2²⁴

Dividing exponents :

 3.2    5²³   divided by   5²   = 5^{(23 - 2)} = 5²¹

Final result :

  (224•3•19•521)