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)". 1 more similar replacement(s)

(2): "2.2" was replaced by "(22/10)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

   22
  (—— • (10-3)) • (4 • ((2)(-2)•(5)(-2)))
   10

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  :

   22              1
  (—— • (10-3)) • ——
   10             25

Step  3  :

 3.1     10 = 2•5

(10)^-3 = (2•5)^(-3) = (2)^(-3) • (5)^(-3)

Equation at the end of step  3  :

   22                         1
  (—— • ((2)(-3)•(5)(-3))) • ——
   10                        25

Step  4  :

            11
 Simplify   ——
            5 

Equation at the end of step  4  :

   11                         1
  (—— • ((2)(-3)•(5)(-3))) • ——
   5                         25

Step  5  :

Multiplying exponents :

 5.1    5¹  multiplied by  5³   = 5^{(1 + 3)} = 5⁴

Equation at the end of step  5  :

   11     1
  ———— • ——
  5000   25

Step  6  :

Final result :

    11             
  —————— = 0.00009 
  125000