Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.06" was replaced by "(106/100)".

Step  1  :

            53
 Simplify   ——
            50

Equation at the end of step  1  :

          53
  1500 • (——)8)
          50

Step  2  :

 2.1     50 = 2•5² (50)⁸ = (2•5²)⁸ = 2⁸ • 5¹⁶

Equation at the end of step  2  :

            538  
  1500 • ————————
         (28•516)

Step  3  :

Dividing exponents :

 3.1    2²   divided by   2⁸   = 2^{(2 - 8)} = 2^(-6) = ¹/_2⁶

Dividing exponents :

 3.2    5³   divided by   5¹⁶   = 5^{(3 - 16)} = 5^(-13) = ¹/_5¹³

Final result :

   (3•538)              
  ———————— = 2390.77211 
  (26•513)