Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.04" was replaced by "(104/100)".

Step  1  :

            26
 Simplify   ——
            25

Equation at the end of step  1  :

           26
  20000 • (——)6)
           25

Step  2  :

 2.1     26 = 2•13

(26)⁶ = (2•13)⁶ = 2⁶ • 13⁶  2.2     25 = 5² (25)⁶ = (5²)⁶ = 5¹²

Equation at the end of step  2  :

          (26•136)
  20000 • ————————
            512   

Step  3  :

Multiplying exponents :

 3.1    2⁵  multiplied by  2⁶   = 2^{(5 + 6)} = 2¹¹

Dividing exponents :

 3.2    5⁴   divided by   5¹²   = 5^{(4 - 12)} = 5^(-8) = ¹/_5⁸

Final result :

  (211•136)               
  ————————— = 25306.38037 
     58