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
  10000 • (——)5)
           25

Step  2  :

 2.1     26 = 2•13

(26)⁵ = (2•13)⁵ = 2⁵ • 13⁵  2.2     25 = 5² (25)⁵ = (5²)⁵ = 5¹⁰

Equation at the end of step  2  :

          (25•135)
  10000 • ————————
            510   

Step  3  :

Multiplying exponents :

 3.1    2⁴  multiplied by  2⁵   = 2^{(4 + 5)} = 2⁹

Dividing exponents :

 3.2    5⁴   divided by   5¹⁰   = 5^{(4 - 10)} = 5^(-6) = ¹/_5⁶

Final result :

  (29•135)               
  ———————— = 12166.52902 
     56