Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.278" was replaced by "(1278/1000)".

Step  1  :

 1.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  1  :

  1278
  ———— • (22•52)
  1000

Step  2  :

            639
 Simplify   ———
            500

Equation at the end of step  2  :

  639
  ——— • (22•52)
  500

Step  3  :

Canceling Out :

 3.1      Canceling out  2² as it appears on both sides of the fraction line

Dividing exponents :

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

Final result :

  639             
  ——— = 127.80000 
   5