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" was replaced by "(8/10)".

Step  1  :

            4
 Simplify   —
            5

Equation at the end of step  1  :

           4
  (10-2) • —
           5

Step  2  :

 2.1     10 = 2•5

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

Equation at the end of step  2  :

                      4
  ((2)(-2)•(5)(-2)) • —
                      5

Step  3  :

Multiplying exponents :

 3.1    5²  multiplied by  5¹   = 5^{(2 + 1)} = 5³

Canceling Out :

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

Final result :

   1            
  ——— = 0.00800 
  125