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
  8000 • (——)6)
          50

Step  2  :

 2.1     50 = 2•5² (50)⁶ = (2•5²)⁶ = 2⁶ • 5¹²

Equation at the end of step  2  :

            536  
  8000 • ————————
         (26•512)

Step  3  :

Canceling Out :

 3.1      Canceling out  2⁶ as it appears on both sides of the fraction line

Dividing exponents :

 3.2    5³   divided by   5¹²   = 5^{(3 - 12)} = 5^(-9) = ¹/_5⁹

Final result :

  536               
  ——— = 11348.15290 
  59