Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-4" was replaced by "^(-4)". 1 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)^-4 = (2•5)^(-4) = (2)^(-4) • (5)^(-4)

Equation at the end of step  1  :

  (5 • (10-1)) • (3 • ((2)(-4)•(5)(-4)))

Step  2  :

Equation at the end of step  2  :

                    3   
  (5 • (10-1)) • ———————
                 (24•54)

Step  3  :

 3.1     10 = 2•5

(10)^-1 = (2•5)^(-1) = (2)^(-1) • (5)^(-1)

Equation at the end of step  3  :

                               3   
  (5 • ((2)(-1)•(5)(-1))) • ———————
                            (24•54)

Step  4  :

Canceling Out :

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

Equation at the end of step  4  :

  1      3   
  — • ———————
  2   (24•54)

Step  5  :

Multiplying exponents :

 5.1    2¹  multiplied by  2⁴   = 2^{(1 + 4)} = 2⁵

Final result :

     3              
  ——————— = 0.00015 
  (25•54)