Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.005" was replaced by "(1005/1000)".

Step  1  :

            201
 Simplify   ———
            200

Equation at the end of step  1  :

          201
  5000 • (———)36)
          200

Step  2  :

 2.1     201 = 3•67

(201)³⁶ = (3•67)³⁶ = 3³⁶ • 67³⁶  2.2     200 = 2³•5² (200)³⁶ = (2³•5²)³⁶ = 2¹⁰⁸ • 5⁷²

Equation at the end of step  2  :

         (336•6736)
  5000 • ——————————
         (2108•572)

Step  3  :

Dividing exponents :

 3.1    2³   divided by   2¹⁰⁸   = 2^{(3 - 108)} = 2^(-105) = ¹/_2¹⁰⁵

Dividing exponents :

 3.2    5⁴   divided by   5⁷²   = 5^{(4 - 72)} = 5^(-68) = ¹/_5⁶⁸

Final result :

  (336•6736)              
  —————————— = 5983.40262 
  (2105•568)