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): "9." was replaced by "(9/1)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

   36       9
  (——•(101))—•((2)(-3)•(5)(-3)))
   10(      1

Step  2  :

            9
 Simplify   —
            1

Equation at the end of step  2  :

   36
  (—— • (101)) ÷ (9 • ((2)(-3)•(5)(-3)))
   10

Step  3  :

Equation at the end of step  3  :

   36              9 
  (—— • (101)) ÷ ————
   10            1000

Step  4  :

 4.1     10 = 2•5

(10)¹ = (2•5)¹ = 2 • 5

Equation at the end of step  4  :

   36              9 
  (—— • (2•5)) ÷ ————
   10            1000

Step  5  :

            18
 Simplify   ——
            5 

Equation at the end of step  5  :

  18              9 
  —— • (2•5)) ÷ ————
  5             1000

Step  6  :

Multiplying exponents :

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

Canceling Out :

 6.2      Canceling out  5  as it appears on both sides of the fraction line

Equation at the end of step  6  :

  369 
  ————
  1000

Step  7  :

                   9 
 Divide  36  by  ————
                 1000

Final result :

  4000