Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.0005" was replaced by "(0005/10000)".

Step  1  :

 1.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  1  :

    5  
  ————— • (22•52)
  10000

Step  2  :

              1 
 Simplify   ————
            2000

Equation at the end of step  2  :

    1 
  ———— • (22•52)
  2000

Step  3  :

Dividing exponents :

 3.1    2²   divided by   2⁴   = 2^{(2 - 4)} = 2^(-2) = ¹/_2²

Dividing exponents :

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

Final result :

   1           
  —— = 0.05000 
  20