Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-2" was replaced by "^(-2)".

(2): "8.04" was replaced by "(804/100)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  1  :

   15        804
  (——•(10-2))———•(22•52))
   10(       100

Step  2  :

            201
 Simplify   ———
            25 

Equation at the end of step  2  :

   15              201
  (—— • (10-2)) ÷ (——— • (22•52))
   10              25 

Step  3  :

Raising to a Power :

 3.1      Canceling out  5² as it appears on both sides of the fraction line

Equation at the end of step  3  :

   15
  (—— • (10-2)) ÷ 804
   10

Step  4  :

 4.1     10 = 2•5

(10)^-2 = (2•5)^(-2) = (2)^(-2) • (5)^(-2)

Equation at the end of step  4  :

   15
  (—— • ((2)(-2)•(5)(-2))) ÷ 804
   10

Step  5  :

            3
 Simplify   —
            2

Equation at the end of step  5  :

  3
  — • ((2)(-2)•(5)(-2))) ÷ 804
  2

Step  6  :

Multiplying exponents :

 6.1    2¹  multiplied by  2²   = 2^{(1 + 2)} = 2³

Equation at the end of step  6  :

   3 
  ——— ÷ 804
  200

Step  7  :

          3       
 Divide  ———  by  804
         200      

Final result :

    1             
  ————— = 0.00002 
  53600