Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.09" was replaced by "(109/100)".

Step  1  :

 1.1     10 = 2•5

(10)¹ = (2•5)¹ = 2 • 5

Equation at the end of step  1  :

  109
  ——— • (2•5)
  100

Step  2  :

            109
 Simplify   ———
            100

Equation at the end of step  2  :

  109
  ——— • (2•5)
  100

Step  3  :

Dividing exponents :

 3.1    2¹   divided by   2²   = 2^{(1 - 2)} = 2^(-1) = ¹/_2¹ = ¹/₂

Dividing exponents :

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

Final result :

  109            
  ——— = 10.90000 
  10