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)". 1 more similar replacement(s)

(2): "9.3" was replaced by "(93/10)". 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  :

   108          93
  (———•(10-3))•(——•((2)(-3)•(5)(-3)))
   100          10

Step  2  :

            93
 Simplify   ——
            10

Equation at the end of step  2  :

   108              93
  (——— • (10-3)) • (—— • ((2)(-3)•(5)(-3)))
   100              10

Step  3  :

Multiplying exponents :

 3.1    2¹  multiplied by  2³   = 2^{(1 + 3)} = 2⁴

Raising to a Power :

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

Equation at the end of step  3  :

   108                93  
  (——— • (10-3)) • ———————
   100             (24•54)

Step  4  :

 4.1     10 = 2•5

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

Equation at the end of step  4  :

   108                           93  
  (——— • ((2)(-3)•(5)(-3))) • ———————
   100                        (24•54)

Step  5  :

            27
 Simplify   ——
            25

Equation at the end of step  5  :

   27                           93  
  (—— • ((2)(-3)•(5)(-3))) • ———————
   25                        (24•54)

Step  6  :

Multiplying exponents :

 6.1    5²  multiplied by  5³   = 5^{(2 + 3)} = 5⁵

Equation at the end of step  6  :

     27        93  
  ——————— • ———————
  (55•23)   (24•54)

Step  7  :

Multiplying exponents :

 7.1    5⁵  multiplied by  5⁴   = 5^{(5 + 4)} = 5⁹

Multiplying exponents :

 7.2    2³  multiplied by  2⁴   = 2^{(3 + 4)} = 2⁷

Final result :

    2511            
  ——————— = 0.00001 
  (59•27)