Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-3" was replaced by "^(-3)".

(2): "1.65" was replaced by "(165/100)".

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

  165
  ——— • ((2)(-3)•(5)(-3))
  100

Step  2  :

            33
 Simplify   ——
            20

Equation at the end of step  2  :

  33
  —— • ((2)(-3)•(5)(-3))
  20

Step  3  :

Multiplying exponents :

 3.1    2²  multiplied by  2³   = 2^{(2 + 3)} = 2⁵

Multiplying exponents :

 3.2    5¹  multiplied by  5³   = 5^{(1 + 3)} = 5⁴

Final result :

     33             
  ——————— = 0.00165 
  (25•54)