Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.142" was replaced by "(142/1000)".

Step  1  :

 1.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  1  :

   142
  ———— • (22•52)
  1000

Step  2  :

             71
 Simplify   ———
            500

Equation at the end of step  2  :

   71
  ——— • (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 :

  71            
  —— = 14.20000 
  5