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
  7000 • (———)12)
          200

Step  2  :

 2.1     207 = 32•23

(207)¹² = (3²•23)¹² = 3²⁴ • 23¹²  2.2     200 = 2³•5² (200)¹² = (2³•5²)¹² = 2³⁶ • 5²⁴

Equation at the end of step  2  :

         (324•2312)
  7000 • ——————————
         (236•524) 

Step  3  :

Dividing exponents :

 3.1    2³   divided by   2³⁶   = 2^{(3 - 36)} = 2^(-33) = ¹/_2³³

Dividing exponents :

 3.2    5³   divided by   5²⁴   = 5^{(3 - 24)} = 5^(-21) = ¹/_5²¹

Final result :

  (7•324•2312)               
  ———————————— = 10577.48060 
   (233•521)