Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "6.64" was replaced by "(664/100)".

Step  1  :

 1.1     10 = 2•5

(10)¹ = (2•5)¹ = 2 • 5

Equation at the end of step  1  :

  664
  ——— • (2•5)
  100

Step  2  :

            166
 Simplify   ———
            25 

Equation at the end of step  2  :

  166
  ——— • (2•5)
  25 

Step  3  :

Multiplying exponents :

 3.1    2¹  multiplied by  2¹   = 2^{(1 + 1)} = 2²

Dividing exponents :

 3.2    5¹   divided by   5²   = 5^{(1 - 2)} = 5^(-1) = ¹/_5¹ = ¹/₅

Final result :

  332            
  ——— = 66.40000 
   5