Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.03" was replaced by "(103/100)".

Step  1  :

            103
 Simplify   ———
            100

Equation at the end of step  1  :

           103
  20000 • (———)8)
           100

Step  2  :

 2.1     100 = 2²•5² (100)⁸ = (2²•5²)⁸ = 2¹⁶ • 5¹⁶

Equation at the end of step  2  :

             1038  
  20000 • —————————
          (216•516) 

Step  3  :

Dividing exponents :

 3.1    2⁵   divided by   2¹⁶   = 2^{(5 - 16)} = 2^(-11) = ¹/_2¹¹

Dividing exponents :

 3.2    5⁴   divided by   5¹⁶   = 5^{(4 - 16)} = 5^(-12) = ¹/_5¹²

Final result :

     1038                 
  ————————— = 25335.40163 
  (211•512)