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
  1540 • (———)5)
          100

Step  2  :

 2.1     100 = 2²•5² (100)⁵ = (2²•5²)⁵ = 2¹⁰ • 5¹⁰

Equation at the end of step  2  :

            1035  
  1540 • —————————
         (210•510) 

Step  3  :

Dividing exponents :

 3.1    2²   divided by   2¹⁰   = 2^{(2 - 10)} = 2^(-8) = ¹/_2⁸

Dividing exponents :

 3.2    5¹   divided by   5¹⁰   = 5^{(1 - 10)} = 5^(-9) = ¹/_5⁹

Final result :

  (7•11•1035)              
  ——————————— = 1785.28207 
    (28•59)