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)²³ = (2•5)²³ = 2²³ • 5²³

Equation at the end of step  1  :

  8602
  ———— • (223•523))
  (100

Step  2  :

            301
 Simplify   ———
            50 

Equation at the end of step  2  :

  301
  ——— • (223•523))
  (50

Step  3  :

Dividing exponents :

 3.1    2²³   divided by   2¹   = 2^{(23 - 1)} = 2²²

Dividing exponents :

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

Equation at the end of step  3  :

Step  4  :

                  18      
 Simplify   ——————————————
            (7•43•222•521) 

Dividing exponents :

 4.1    2¹   divided by   2²²   = 2^{(1 - 22)} = 2^(-21) = ¹/_2²¹

Final result :

         9                                         
  —————————————— = 2.99003 • 10-23 
  (7•43•221•521)