Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "6.452" was replaced by "(6452/1000)".

Step  1  :

 1.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  1  :

  6452
  ———— • (22•52)
  1000

Step  2  :

            1613
 Simplify   ————
            250 

Equation at the end of step  2  :

  1613
  ———— • (22•52)
  250 

Step  3  :

Dividing exponents :

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

Dividing exponents :

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

Final result :

  3226             
  ———— = 645.20000 
   5