Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.003" was replaced by "(1003/1000)".

Step  1  :

            1003
 Simplify   ————
            1000

Equation at the end of step  1  :

           1003
  10500 • (————)36)
           1000

Step  2  :

 2.1     1003 = 17•59

(1003)³⁶ = (17•59)³⁶ = 17³⁶ • 59³⁶  2.2     1000 = 2³•5³ (1000)³⁶ = (2³•5³)³⁶ = 2¹⁰⁸ • 5¹⁰⁸

Equation at the end of step  2  :

          (1736•5936)
  10500 • ———————————
          (2108•5108)

Step  3  :

Dividing exponents :

 3.1    2²   divided by   2¹⁰⁸   = 2^{(2 - 108)} = 2^(-106) = ¹/_2¹⁰⁶

Dividing exponents :

 3.2    5³   divided by   5¹⁰⁸   = 5^{(3 - 108)} = 5^(-105) = ¹/_5¹⁰⁵

Final result :

  (3•7•1736•5936)               
  ——————————————— = 11695.61027 
    (2106•5105)