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): "4.5" was replaced by "(45/10)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

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

Equation at the end of step  1  :

   83          45
  (——•(10-3))•(——•((2)(-2)•(5)(-2)))
   10          10

Step  2  :

            9
 Simplify   —
            2

Equation at the end of step  2  :

   83              9
  (—— • (10-3)) • (— • ((2)(-2)•(5)(-2)))
   10              2

Step  3  :

Raising to a Power :

 3.1    2¹  multiplied by  2²   = 2^{(1 + 2)} = 2³

Equation at the end of step  3  :

   83              9 
  (—— • (10-3)) • ———
   10             200

Step  4  :

 4.1     10 = 2•5

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

Equation at the end of step  4  :

   83                         9 
  (—— • ((2)(-3)•(5)(-3))) • ———
   10                        200

Step  5  :

            83
 Simplify   ——
            10

Equation at the end of step  5  :

   83                         9 
  (—— • ((2)(-3)•(5)(-3))) • ———
   10                        200

Step  6  :

Multiplying exponents :

 6.1    2¹  multiplied by  2³   = 2^{(1 + 3)} = 2⁴

Multiplying exponents :

 6.2    5¹  multiplied by  5³   = 5^{(1 + 3)} = 5⁴

Equation at the end of step  6  :

     83      9 
  ——————— • ———
  (24•54)   200

Step  7  :

Multiplying exponents :

 7.1    2⁴  multiplied by  2³   = 2^{(4 + 3)} = 2⁷

Multiplying exponents :

 7.2    5⁴  multiplied by  5²   = 5^{(4 + 2)} = 5⁶

Final result :

    747             
  ——————— = 0.00037 
  (27•56)