Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.0012" was replaced by "(0012/10000)".

Step  1  :

 1.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  1  :

    12 
  ————— • (22•52)
  10000

Step  2  :

              3 
 Simplify   ————
            2500

Equation at the end of step  2  :

    3 
  ———— • (22•52)
  2500

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   5⁴   = 5^{(2 - 4)} = 5^(-2) = ¹/_5²

Final result :

   3           
  —— = 0.12000 
  25