Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.829" was replaced by "(829/1000)".

Step  1  :

 1.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  1  :

   829
  ———— • (22•52)
  1000

Step  2  :

             829
 Simplify   ————
            1000

Equation at the end of step  2  :

   829
  ———— • (22•52)
  1000

Step  3  :

Dividing exponents :

 3.1    2²   divided by   2³   = 2^{(2 - 3)} = 2^(-1) = ¹/_2¹ = ¹/₂

Dividing exponents :

 3.2    5²   divided by   5³   = 5^{(2 - 3)} = 5^(-1) = ¹/_5¹ = ¹/₅

Final result :

  829            
  ——— = 82.90000 
  10