Solution - Power equations

Step  1  :

             x2000 
 Simplify   ——————
            100000

Equation at the end of step  1  :

            x2000 
  135000 • ———————
           (25•55)

Step  2  :

Dividing exponents :

 2.1    2³   divided by   2⁵   = 2^{(3 - 5)} = 2^(-2) = ¹/_2²

Dividing exponents :

 2.2    5⁴   divided by   5⁵   = 5^{(4 - 5)} = 5^(-1) = ¹/_5¹ = ¹/₅

Final result :

  27x2000 
  ———————
    20