Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.025" was replaced by "(3025/1000)".

Step  1  :

 1.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  1  :

  3025
  ———— • (22•52)
  1000

Step  2  :

            121
 Simplify   ———
            40 

Equation at the end of step  2  :

  121
  ——— • (22•52)
  40 

Step  3  :

Dividing exponents :

 3.1    2²   divided by   2³   = 2^{(2 - 3)} = 2^(-1) = ¹/_2¹ = ¹/₂

Dividing exponents :

 3.2    5²   divided by   5¹   = 5^{(2 - 1)} = 5¹ = 5

Final result :

  605             
  ——— = 302.50000 
   2