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)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  (4 • ((2)(-2)•(5)(-2)))2

Step  2  :

Raising to a Power :

 2.1      Canceling out  2² as it appears on both sides of the fraction line

Equation at the end of step  2  :

   1
 (——)2
  25

Step  3  :

 3.1     25 = 5² (25)² = (5²)² = 5⁴

Final result :

   1           
  —— = 0.00160 
  54