Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.08" was replaced by "(108/100)".

Step  1  :

            27
 Simplify   ——
            25

Equation at the end of step  1  :

         27
  500 • (——)16)
         25

Step  2  :

 2.1     27 = 33

(27)¹⁶ = (3³)¹⁶ = 3⁴⁸  2.2     25 = 5² (25)¹⁶ = (5²)¹⁶ = 5³²

Equation at the end of step  2  :

        348
  500 • ———
        532

Step  3  :

Dividing exponents :

 3.1    5³   divided by   5³²   = 5^{(3 - 32)} = 5^(-29) = ¹/_5²⁹

Final result :

  (22•348)              
  ———————— = 1712.97132 
    529