Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

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

Step  1  :

 1.1     10 = 2•5

(10)²² = (2•5)²² = 2²² • 5²²

Equation at the end of step  1  :

   602
  (——— • (222•522)) • 3
   100

Step  2  :

            301
 Simplify   ———
            50 

Equation at the end of step  2  :

   301
  (——— • (222•522)) • 3
   50 

Step  3  :

Dividing exponents :

 3.1    2²²   divided by   2¹   = 2^{(22 - 1)} = 2²¹

Dividing exponents :

 3.2    5²²   divided by   5²   = 5^{(22 - 2)} = 5²⁰

Equation at the end of step  3  :

  (7•43•221•520) • 3

Step  4  :

Final result :

  (7•43•221•520•3)