Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "206.91" was replaced by "(20691/100)". 2 more similar replacement(s)

Step  1  :

            20691
 Simplify   —————
             100 

Equation at the end of step  1  :

   602             20691
  (——— • (1023)) • —————
   100              100 

Step  2  :

 2.1     10 = 2•5

(10)²³ = (2•5)²³ = 2²³ • 5²³

Equation at the end of step  2  :

   602                20691
  (——— • (223•523)) • —————
   100                 100 

Step  3  :

            301
 Simplify   ———
            50 

Equation at the end of step  3  :

   301                20691
  (——— • (223•523)) • —————
   50                  100 

Step  4  :

Dividing exponents :

 4.1    2²³   divided by   2¹   = 2^{(23 - 1)} = 2²²

Dividing exponents :

 4.2    5²³   divided by   5²   = 5^{(23 - 2)} = 5²¹

Equation at the end of step  4  :

                   20691
  (7•43•222•521) • —————
                    100 

Step  5  :

Dividing exponents :

 5.1    2²²   divided by   2²   = 2^{(22 - 2)} = 2²⁰

Dividing exponents :

 5.2    5²¹   divided by   5²   = 5^{(21 - 2)} = 5¹⁹

Final result :

  (7•43•220•519•32•112•19)