Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "63.55" was replaced by "(6355/100)". 2 more similar replacement(s)

Step  1  :

            1271
 Simplify   ————
             20 

Equation at the end of step  1  :

   903             1271
  (——— • (1023)) • ————
   100              20 

Step  2  :

 2.1     10 = 2•5

(10)²³ = (2•5)²³ = 2²³ • 5²³

Equation at the end of step  2  :

   903                1271
  (——— • (223•523)) • ————
   100                 20 

Step  3  :

            903
 Simplify   ———
            100

Equation at the end of step  3  :

   903                1271
  (——— • (223•523)) • ————
   100                 20 

Step  4  :

Dividing exponents :

 4.1    2²³   divided by   2²   = 2^{(23 - 2)} = 2²¹

Dividing exponents :

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

Equation at the end of step  4  :

                     1271
  (3•7•43•221•521) • ————
                      20 

Step  5  :

Dividing exponents :

 5.1    2²¹   divided by   2²   = 2^{(21 - 2)} = 2¹⁹

Dividing exponents :

 5.2    5²¹   divided by   5¹   = 5^{(21 - 1)} = 5²⁰

Final result :

  (3•7•43•219•520•31•41)