Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.035" was replaced by "(1035/1000)".

Step  1  :

            207
 Simplify   ———
            200

Equation at the end of step  1  :

          207
  5000 • (———)20)
          200

Step  2  :

 2.1     207 = 32•23

(207)²⁰ = (3²•23)²⁰ = 3⁴⁰ • 23²⁰  2.2     200 = 2³•5² (200)²⁰ = (2³•5²)²⁰ = 2⁶⁰ • 5⁴⁰

Equation at the end of step  2  :

         (340•2320)
  5000 • ——————————
         (260•540) 

Step  3  :

Dividing exponents :

 3.1    2³   divided by   2⁶⁰   = 2^{(3 - 60)} = 2^(-57) = ¹/_2⁵⁷

Dividing exponents :

 3.2    5⁴   divided by   5⁴⁰   = 5^{(4 - 40)} = 5^(-36) = ¹/_5³⁶

Final result :

  (340•2320)              
  —————————— = 9948.94432 
  (257•536)