Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "8.74" was replaced by "(874/100)".

Step  1  :

 1.1     10 = 2•5

(10)¹⁹ = (2•5)¹⁹ = 2¹⁹ • 5¹⁹

Equation at the end of step  1  :

  874
  ——— • (219•519)
  100

Step  2  :

            437
 Simplify   ———
            50 

Equation at the end of step  2  :

  437
  ——— • (219•519)
  50 

Step  3  :

Dividing exponents :

 3.1    2¹⁹   divided by   2¹   = 2^{(19 - 1)} = 2¹⁸

Dividing exponents :

 3.2    5¹⁹   divided by   5²   = 5^{(19 - 2)} = 5¹⁷

Final result :

  (19•23•218•517)